{"id":44,"date":"2023-01-10T16:52:38","date_gmt":"2023-01-10T21:52:38","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/math023\/chapter\/divisibility\/"},"modified":"2025-07-03T22:48:45","modified_gmt":"2025-07-04T02:48:45","slug":"divisibility","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/math023\/chapter\/divisibility\/","title":{"raw":"Topic B: Divisibility","rendered":"Topic B: Divisibility"},"content":{"raw":"Divisibility is when two numbers can be divided without a remainder.\r\n\r\nFor example, 18 is divisible by 3 because 18 \u00f7 3 = 6.\r\n\r\n18 is not divisible by 5 because 18 \u00f7 5 = 3 with a remainder of 3.\r\n

Divisibility by 2<\/h1>\r\nA number is divisible by 2 if it ends in 0, 2, 4, 6 or 8.\r\n
\r\n

Example A<\/p>\r\n\r\n<\/header>\r\n

\r\n\r\n438, 540, 256, 12, and 154 are all divisible by 2 because each number ends in a 0, 2, 4, 6, or 8.\r\n\r\n<\/div>\r\n<\/div>\r\n
\r\n

Example B<\/p>\r\n\r\n<\/header>\r\n

\r\n\r\n351, 945, 849, 347, and 193 are not divisible by 2 because each number does not end in a 0, 2, 4, 6 or 8.\r\n\r\n<\/div>\r\n<\/div>\r\n
\r\n

Exercise 1<\/p>\r\n\r\n<\/header>\r\n

\r\n\r\nCircle the numbers that are divisible by 2. Check your work using the answer key at the end of the exercise.\r\n
    \r\n \t
  1. 22<\/li>\r\n \t
  2. 35<\/li>\r\n \t
  3. 17<\/li>\r\n \t
  4. 10<\/li>\r\n \t
  5. 274<\/li>\r\n \t
  6. 345<\/li>\r\n \t
  7. 639<\/li>\r\n \t
  8. 456<\/li>\r\n \t
  9. 2437<\/span><\/li>\r\n \t
  10. 7548<\/span><\/li>\r\n \t
  11. 6754<\/span><\/li>\r\n \t
  12. 5543<\/span><\/li>\r\n<\/ol>\r\nAnswers to Exercise 1<\/strong>\r\n\r\nThe following numbers are divisible by 2: a, d, e, h, j, k.\r\n\r\n<\/div>\r\n<\/div>\r\n

    Divisibility by 3<\/h1>\r\nA number is divisible by 3 if the sum (total) of the digits is divisible by 3.\r\n
    \r\n

    Example C<\/p>\r\n\r\n<\/header>\r\n

    \r\n\r\n63\r\n\r\n6 + 3 = 9\r\n\r\n9 is divisible by three, so 63 is divisible by three.\r\n\r\n<\/div>\r\n<\/div>\r\n
    \r\n

    Example D<\/p>\r\n\r\n<\/header>\r\n

    \r\n\r\n148\r\n\r\n1 + 4 + 8 = 13\r\n\r\n13 is not divisible by three, so 148 is not divisible by 3.\r\n\r\n<\/div>\r\n<\/div>\r\n
    \r\n

    Example E<\/p>\r\n\r\n<\/header>\r\n

    \r\n\r\n5892<\/span>\r\n\r\n5 + 8 + 9 + 2 = 24\r\n\r\nAdd again: 2 + 4 = 6\r\n\r\n6 is divisible by 3, so 5892<\/span> is divisible by 3.\r\n\r\n<\/div>\r\n<\/div>\r\n
    \r\n

    Exercise 2<\/p>\r\n\r\n<\/header>\r\n

    \r\n\r\nCircle the numbers that are divisible by 3. Check your work using the answer key at the end of the exercise.\r\n
      \r\n \t
    1. 27<\/li>\r\n \t
    2. 35<\/li>\r\n \t
    3. 81<\/li>\r\n \t
    4. 94<\/li>\r\n \t
    5. 274<\/li>\r\n \t
    6. 581<\/li>\r\n \t
    7. 564<\/li>\r\n \t
    8. 316<\/li>\r\n \t
    9. 3175<\/span><\/li>\r\n \t
    10. 1458<\/span><\/li>\r\n \t
    11. 1890<\/span><\/li>\r\n \t
    12. 3934<\/span><\/li>\r\n<\/ol>\r\nAnswers to Exercise 2<\/strong>\r\n\r\nThe following numbers are divisible by 3: a, c, g, j, k.\r\n\r\n<\/div>\r\n<\/div>\r\n

      Divisibility by 5<\/h1>\r\nA number is divisible by 5 if the number ends in 0 or 5.\r\n
      \r\n

      Example F<\/p>\r\n\r\n<\/header>\r\n

      \r\n\r\n290 is divisible by 5 because it ends in 0.\r\n\r\n<\/div>\r\n<\/div>\r\n
      \r\n

      Example G<\/p>\r\n\r\n<\/header>\r\n

      \r\n\r\n132 is not divisible by 5 because it does not end in 0 or 5.\r\n\r\n<\/div>\r\n<\/div>\r\n
      \r\n

      Exercise 3<\/p>\r\n\r\n<\/header>\r\n

      \r\n\r\nCircle the numbers that are divisible by 5. Check your work using the answer key at the end of the exercise.\r\n
        \r\n \t
      1. 45<\/li>\r\n \t
      2. 84<\/li>\r\n \t
      3. 72<\/li>\r\n \t
      4. 90<\/li>\r\n \t
      5. 800<\/li>\r\n \t
      6. 753<\/li>\r\n \t
      7. 672<\/li>\r\n \t
      8. 355<\/li>\r\n \t
      9. 6009<\/span><\/li>\r\n \t
      10. 6375<\/span><\/li>\r\n \t
      11. 7020<\/span><\/li>\r\n \t
      12. 1704<\/span><\/li>\r\n<\/ol>\r\nAnswers to Exercise 3<\/strong>\r\n\r\nThe following numbers are divisible by 5: a, d, e, h, j, k.\r\n\r\n<\/div>\r\n<\/div>\r\n
        \r\n

        Exercise 4<\/p>\r\n\r\n<\/header>\r\n

        \r\n\r\nFor each number, identify if it is divisible by 2, 3, and 5. Check your work using the answer key at the end of the exercise.\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
        Number<\/th>\r\nDivisible by 2<\/th>\r\nDivisible by 3<\/th>\r\nDivisible by 5<\/th>\r\n<\/tr>\r\n
        474<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\n<\/tr>\r\n
        615<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
        412<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
        865<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
        300<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
        831<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
        525<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
        350<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
        710<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
        429<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
        906<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
        634<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
        430<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
        275<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\nAnswers to Exercise 4<\/strong>\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
        Number<\/th>\r\nDivisible by 2<\/th>\r\nDivisible by 3<\/th>\r\nDivisible by 5<\/th>\r\n<\/tr>\r\n
        474<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\n<\/tr>\r\n
        615<\/td>\r\nNo<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\n<\/tr>\r\n
        412<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\nNo<\/td>\r\n<\/tr>\r\n
        865<\/td>\r\nNo<\/td>\r\nNo<\/td>\r\nYes<\/td>\r\n<\/tr>\r\n
        300<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\n<\/tr>\r\n
        831<\/td>\r\nNo<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\n<\/tr>\r\n
        525<\/td>\r\nNo<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\n<\/tr>\r\n
        350<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\nYes<\/td>\r\n<\/tr>\r\n
        710<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\nYes<\/td>\r\n<\/tr>\r\n
        429<\/td>\r\nNo<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\n<\/tr>\r\n
        906<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\n<\/tr>\r\n
        634<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\nNo<\/td>\r\n<\/tr>\r\n
        430<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\nYes<\/td>\r\n<\/tr>\r\n
        275<\/td>\r\nNo<\/td>\r\nNo<\/td>\r\nYes<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<\/div>\r\n
        \r\n

        Exercise 5<\/p>\r\n\r\n<\/header>\r\n

        \r\n\r\nFor each number, identify if it is divisible by 2, 3, and 5. Check your work using the answer key at the end of the exercise.\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
        Number<\/th>\r\nDivisible by 2<\/th>\r\nDivisible by 3<\/th>\r\nDivisible by 5<\/th>\r\n<\/tr>\r\n
        3585<\/span><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
        7548<\/span><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
        5890<\/span><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
        6318<\/span><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
        3905<\/span><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
        5280<\/span><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
        1760<\/span><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
        8007<\/span><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
        6752<\/span><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
        7375<\/span><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
        5523<\/span><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
        2625<\/span><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
        8956<\/span><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
        9150<\/span><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\nAnswers to Exercise 5<\/strong>\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
        Number<\/th>\r\nDivisible by 2<\/th>\r\nDivisible by 3<\/th>\r\nDivisible by 5<\/th>\r\n<\/tr>\r\n
        3585<\/span><\/td>\r\nNo<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\n<\/tr>\r\n
        7548<\/span><\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\n<\/tr>\r\n
        5890<\/span><\/td>\r\nYes<\/td>\r\nNo<\/td>\r\nYes<\/td>\r\n<\/tr>\r\n
        6318<\/span><\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\n<\/tr>\r\n
        3905<\/span><\/td>\r\nNo<\/td>\r\nNo<\/td>\r\nYes<\/td>\r\n<\/tr>\r\n
        5280<\/span><\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\n<\/tr>\r\n
        1760<\/span><\/td>\r\nYes<\/td>\r\nNo<\/td>\r\nYes<\/td>\r\n<\/tr>\r\n
        8007<\/span><\/td>\r\nNo<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\n<\/tr>\r\n
        6752<\/span><\/td>\r\nYes<\/td>\r\nNo<\/td>\r\nNo<\/td>\r\n<\/tr>\r\n
        7375<\/span><\/td>\r\nNo<\/td>\r\nNo<\/td>\r\nYes<\/td>\r\n<\/tr>\r\n
        5523<\/span><\/td>\r\nNo<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\n<\/tr>\r\n
        2625<\/span><\/td>\r\nNo<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\n<\/tr>\r\n
        8956<\/span><\/td>\r\nYes<\/td>\r\nNo<\/td>\r\nNo<\/td>\r\n<\/tr>\r\n
        9150<\/span><\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<\/div>\r\n

        Divisibility by 9<\/h1>\r\nA number is divisible by 9 if the sum (total) of the digits is divisible by 9.\r\n
        \r\n

        Example H<\/p>\r\n\r\n<\/header>\r\n

        \r\n\r\n135\r\n\r\n1 + 3 + 5 = 9\r\n\r\n9 is divisible by 9, so 135 is divisible by 9.\r\n\r\n<\/div>\r\n<\/div>\r\n
        \r\n

        Example I<\/p>\r\n\r\n<\/header>\r\n

        \r\n\r\n7578<\/span>\r\n\r\n7 + 5 + 7 + 8 = 27\r\n\r\n27 is divisible by 9, so 7578<\/span> is divisible by 9.\r\n\r\n<\/div>\r\n<\/div>\r\n
        \r\n

        Example J<\/p>\r\n\r\n<\/header>\r\n

        \r\n\r\n57896<\/span>\r\n\r\n5 + 7 + 8 + 9 + 6 = 35\r\n\r\n35 is not divisible by 9, so 57896<\/span> is not divisible by 9.\r\n\r\n<\/div>\r\n<\/div>\r\n
        \r\n

        Exercise 6<\/p>\r\n\r\n<\/header>\r\n

        \r\n\r\nCircle the numbers that are divisible by 9. Check your work using the answer key at the end of the exercise.\r\n
          \r\n \t
        1. 538<\/li>\r\n \t
        2. 783<\/li>\r\n \t
        3. 954<\/li>\r\n \t
        4. 762<\/li>\r\n \t
        5. 6213<\/span><\/li>\r\n \t
        6. 5742<\/span><\/li>\r\n \t
        7. 7083<\/span><\/li>\r\n \t
        8. 5738<\/span><\/li>\r\n \t
        9. 34937<\/span><\/li>\r\n \t
        10. 39402<\/span><\/li>\r\n \t
        11. 74124<\/span><\/li>\r\n \t
        12. 45683<\/span><\/li>\r\n<\/ol>\r\nAnswers to Exercise 6<\/strong>\r\n\r\nThe following numbers are divisible by 9: b, c, f, g, j, k\r\n\r\n<\/div>\r\n<\/div>\r\n
          \r\n

          Exercise 7<\/p>\r\n\r\n<\/header>\r\n

          \r\n\r\nFor each number, identify if it is divisible by 2, 3, 5, and 9. Check your work using the answer key at the end of the exercise.\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
          Number<\/th>\r\nDivisible by 2<\/th>\r\nDivisible by 3<\/th>\r\nDivisible by 5<\/th>\r\nDivisible by 9<\/th>\r\n<\/tr>\r\n
          453<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          320<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          216<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          726<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          712<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          425<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          630<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          375<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          990<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          210<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\nAnswers to Exercise 7<\/strong>\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
          Number<\/th>\r\nDivisible by 2<\/th>\r\nDivisible by 3<\/th>\r\nDivisible by 5<\/th>\r\nDivisible by 9<\/th>\r\n<\/tr>\r\n
          453<\/td>\r\nNo<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\nNo<\/td>\r\n<\/tr>\r\n
          320<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\n<\/tr>\r\n
          216<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\nYes<\/td>\r\n<\/tr>\r\n
          726<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\nNo<\/td>\r\n<\/tr>\r\n
          712<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\nNo<\/td>\r\nNo<\/td>\r\n<\/tr>\r\n
          425<\/td>\r\nNo<\/td>\r\nNo<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\n<\/tr>\r\n
          630<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\n<\/tr>\r\n
          375<\/td>\r\nNo<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\n<\/tr>\r\n
          990<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\n<\/tr>\r\n
          210<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<\/div>\r\n
          \r\n

          Exercise 8<\/p>\r\n\r\n<\/header>\r\n

          \r\n\r\nFor each number, identify if it is divisible by 2, 3, 5, and 9. Check your work using the answer key at the end of the exercise.\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
          Number<\/th>\r\nDivisible by 2<\/th>\r\nDivisible by 3<\/th>\r\nDivisible by 5<\/th>\r\nDivisible by 9<\/th>\r\n<\/tr>\r\n
          837<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          360<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          648<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          981<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          465<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          1002<\/span><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          3520<\/span><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          6435<\/span><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          8022<\/span><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          7425<\/span><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\nAnswers to Exercise 8\r\n<\/strong>\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
          Number<\/th>\r\nDivisible by 2<\/th>\r\nDivisible by 3<\/th>\r\nDivisible by 5<\/th>\r\nDivisible by 9<\/th>\r\n<\/tr>\r\n
          837<\/td>\r\nNo<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\nYes<\/td>\r\n<\/tr>\r\n
          360<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\n<\/tr>\r\n
          648<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\nYes<\/td>\r\n<\/tr>\r\n
          981<\/td>\r\nNo<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\nYes<\/td>\r\n<\/tr>\r\n
          465<\/td>\r\nNo<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\n<\/tr>\r\n
          1002<\/span><\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\nNo<\/td>\r\n<\/tr>\r\n
          3520<\/span><\/td>\r\nYes<\/td>\r\nNo<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\n<\/tr>\r\n
          6435<\/span><\/td>\r\nNo<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\n<\/tr>\r\n
          8022<\/span><\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\nNo<\/td>\r\n<\/tr>\r\n
          7425<\/span><\/td>\r\nNo<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<\/div>\r\n
          \r\n

          Exercise 9<\/p>\r\n\r\n<\/header>\r\n

          \r\n\r\nFor each number, identify if it is divisible by 2, 3, 5, and 9. Check your work using the answer key at the end of the exercise\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
          Number<\/th>\r\nDivisible by 2<\/th>\r\nDivisible by 3<\/th>\r\nDivisible by 5<\/th>\r\nDivisible by 9<\/th>\r\n<\/tr>\r\n
          1200<\/span><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          7164<\/span><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          3681<\/span><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          8205<\/span><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          2745<\/span><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          4320<\/span><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          7350<\/span><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          4000<\/span><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          1368<\/span><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          6720<\/span><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\nAnswers to Exercise 9\r\n<\/strong>\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
          Number<\/th>\r\nDivisible by 2<\/th>\r\nDivisible by3<\/th>\r\nDivisible by 5<\/th>\r\nDivisible by 9<\/th>\r\n<\/tr>\r\n
          1200<\/span><\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\n<\/tr>\r\n
          7164<\/span><\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\nYes<\/td>\r\n<\/tr>\r\n
          3681<\/span><\/td>\r\nNo<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\nYes<\/td>\r\n<\/tr>\r\n
          8205<\/span><\/td>\r\nNo<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\n<\/tr>\r\n
          2745<\/span><\/td>\r\nNo<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\n<\/tr>\r\n
          4320<\/span><\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\n<\/tr>\r\n
          7350<\/span><\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\n<\/tr>\r\n
          4000<\/span><\/td>\r\nYes<\/td>\r\nNo<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\n<\/tr>\r\n
          1368<\/span><\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\nYes<\/td>\r\n<\/tr>\r\n
          6720<\/span><\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<\/div>\r\n

          Topic B: Self-Test<\/h1>\r\nMark \/12\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Aim 9\/12<\/strong>\r\n
            \r\n \t
          1. From the list of numbers, write the numbers that are divisible by the specified number.\r\n48, 925, 1467<\/span>, 2645<\/span>, 5534<\/span>, 7512<\/span>, 31183<\/span>, 52361<\/span>\r\n
              \r\n \t
            1. Which numbers are divisible by 2?<\/li>\r\n \t
            2. Which numbers are divisible by 3?<\/li>\r\n \t
            3. Which numbers are divisible by 5?<\/li>\r\n \t
            4. Which numbers are divisible by 9?<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
            5. For each number, identify if it is divisible by 2, 3, 5, and 9.\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
              Number<\/th>\r\nDivisible by 2<\/th>\r\nDivisible by 3<\/th>\r\nDivisible by 5<\/th>\r\nDivisible by 9<\/th>\r\n<\/tr>\r\n
              1200<\/span><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
              7164<\/span><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
              3681<\/span><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
              8205<\/span><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
              2745<\/span><\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/li>\r\n<\/ol>\r\n

              Answers to Topic B Self-Test<\/h2>\r\n
                \r\n \t
              1. From the list of numbers, write the numbers that are divisible by the specified number.\r\n
                  \r\n \t
                1. 48, 7512<\/span>, 5534<\/span><\/li>\r\n \t
                2. 48, 1467<\/span>, 7512<\/span><\/li>\r\n \t
                3. 925, 2645<\/span><\/li>\r\n \t
                4. 1467<\/span><\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
                5. For each number, identify if it is divisible by 2, 3, 5, and 9.\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
                  Number<\/th>\r\nDivisible by 2<\/th>\r\nDivisible by 3<\/th>\r\nDivisible by 5<\/th>\r\nDivisible by 9<\/th>\r\n<\/tr>\r\n
                  1200<\/span><\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\n<\/tr>\r\n
                  7164<\/span><\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\nYes<\/td>\r\n<\/tr>\r\n
                  3681<\/span><\/td>\r\nNo<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\nYes<\/td>\r\n<\/tr>\r\n
                  8205<\/span><\/td>\r\nNo<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nNo<\/td>\r\n<\/tr>\r\n
                  2745<\/span><\/td>\r\nNo<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\nYes<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/li>\r\n<\/ol>","rendered":"

                  Divisibility is when two numbers can be divided without a remainder.<\/p>\n

                  For example, 18 is divisible by 3 because 18 \u00f7 3 = 6.<\/p>\n

                  18 is not divisible by 5 because 18 \u00f7 5 = 3 with a remainder of 3.<\/p>\n

                  Divisibility by 2<\/h1>\n

                  A number is divisible by 2 if it ends in 0, 2, 4, 6 or 8.<\/p>\n

                  \n
                  \n

                  Example A<\/p>\n<\/header>\n

                  \n

                  438, 540, 256, 12, and 154 are all divisible by 2 because each number ends in a 0, 2, 4, 6, or 8.<\/p>\n<\/div>\n<\/div>\n

                  \n
                  \n

                  Example B<\/p>\n<\/header>\n

                  \n

                  351, 945, 849, 347, and 193 are not divisible by 2 because each number does not end in a 0, 2, 4, 6 or 8.<\/p>\n<\/div>\n<\/div>\n

                  \n
                  \n

                  Exercise 1<\/p>\n<\/header>\n

                  \n

                  Circle the numbers that are divisible by 2. Check your work using the answer key at the end of the exercise.<\/p>\n

                    \n
                  1. 22<\/li>\n
                  2. 35<\/li>\n
                  3. 17<\/li>\n
                  4. 10<\/li>\n
                  5. 274<\/li>\n
                  6. 345<\/li>\n
                  7. 639<\/li>\n
                  8. 456<\/li>\n
                  9. 2437<\/span><\/li>\n
                  10. 7548<\/span><\/li>\n
                  11. 6754<\/span><\/li>\n
                  12. 5543<\/span><\/li>\n<\/ol>\n

                    Answers to Exercise 1<\/strong><\/p>\n

                    The following numbers are divisible by 2: a, d, e, h, j, k.<\/p>\n<\/div>\n<\/div>\n

                    Divisibility by 3<\/h1>\n

                    A number is divisible by 3 if the sum (total) of the digits is divisible by 3.<\/p>\n

                    \n
                    \n

                    Example C<\/p>\n<\/header>\n

                    \n

                    63<\/p>\n

                    6 + 3 = 9<\/p>\n

                    9 is divisible by three, so 63 is divisible by three.<\/p>\n<\/div>\n<\/div>\n

                    \n
                    \n

                    Example D<\/p>\n<\/header>\n

                    \n

                    148<\/p>\n

                    1 + 4 + 8 = 13<\/p>\n

                    13 is not divisible by three, so 148 is not divisible by 3.<\/p>\n<\/div>\n<\/div>\n

                    \n
                    \n

                    Example E<\/p>\n<\/header>\n

                    \n

                    5892<\/span><\/p>\n

                    5 + 8 + 9 + 2 = 24<\/p>\n

                    Add again: 2 + 4 = 6<\/p>\n

                    6 is divisible by 3, so 5892<\/span> is divisible by 3.<\/p>\n<\/div>\n<\/div>\n

                    \n
                    \n

                    Exercise 2<\/p>\n<\/header>\n

                    \n

                    Circle the numbers that are divisible by 3. Check your work using the answer key at the end of the exercise.<\/p>\n

                      \n
                    1. 27<\/li>\n
                    2. 35<\/li>\n
                    3. 81<\/li>\n
                    4. 94<\/li>\n
                    5. 274<\/li>\n
                    6. 581<\/li>\n
                    7. 564<\/li>\n
                    8. 316<\/li>\n
                    9. 3175<\/span><\/li>\n
                    10. 1458<\/span><\/li>\n
                    11. 1890<\/span><\/li>\n
                    12. 3934<\/span><\/li>\n<\/ol>\n

                      Answers to Exercise 2<\/strong><\/p>\n

                      The following numbers are divisible by 3: a, c, g, j, k.<\/p>\n<\/div>\n<\/div>\n

                      Divisibility by 5<\/h1>\n

                      A number is divisible by 5 if the number ends in 0 or 5.<\/p>\n

                      \n
                      \n

                      Example F<\/p>\n<\/header>\n

                      \n

                      290 is divisible by 5 because it ends in 0.<\/p>\n<\/div>\n<\/div>\n

                      \n
                      \n

                      Example G<\/p>\n<\/header>\n

                      \n

                      132 is not divisible by 5 because it does not end in 0 or 5.<\/p>\n<\/div>\n<\/div>\n

                      \n
                      \n

                      Exercise 3<\/p>\n<\/header>\n

                      \n

                      Circle the numbers that are divisible by 5. Check your work using the answer key at the end of the exercise.<\/p>\n

                        \n
                      1. 45<\/li>\n
                      2. 84<\/li>\n
                      3. 72<\/li>\n
                      4. 90<\/li>\n
                      5. 800<\/li>\n
                      6. 753<\/li>\n
                      7. 672<\/li>\n
                      8. 355<\/li>\n
                      9. 6009<\/span><\/li>\n
                      10. 6375<\/span><\/li>\n
                      11. 7020<\/span><\/li>\n
                      12. 1704<\/span><\/li>\n<\/ol>\n

                        Answers to Exercise 3<\/strong><\/p>\n

                        The following numbers are divisible by 5: a, d, e, h, j, k.<\/p>\n<\/div>\n<\/div>\n

                        \n
                        \n

                        Exercise 4<\/p>\n<\/header>\n

                        \n

                        For each number, identify if it is divisible by 2, 3, and 5. Check your work using the answer key at the end of the exercise.<\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
                        Number<\/th>\nDivisible by 2<\/th>\nDivisible by 3<\/th>\nDivisible by 5<\/th>\n<\/tr>\n
                        474<\/td>\nYes<\/td>\nYes<\/td>\nNo<\/td>\n<\/tr>\n
                        615<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                        412<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                        865<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                        300<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                        831<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                        525<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                        350<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                        710<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                        429<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                        906<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                        634<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                        430<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                        275<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

                        Answers to Exercise 4<\/strong><\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
                        Number<\/th>\nDivisible by 2<\/th>\nDivisible by 3<\/th>\nDivisible by 5<\/th>\n<\/tr>\n
                        474<\/td>\nYes<\/td>\nYes<\/td>\nNo<\/td>\n<\/tr>\n
                        615<\/td>\nNo<\/td>\nYes<\/td>\nYes<\/td>\n<\/tr>\n
                        412<\/td>\nYes<\/td>\nNo<\/td>\nNo<\/td>\n<\/tr>\n
                        865<\/td>\nNo<\/td>\nNo<\/td>\nYes<\/td>\n<\/tr>\n
                        300<\/td>\nYes<\/td>\nYes<\/td>\nYes<\/td>\n<\/tr>\n
                        831<\/td>\nNo<\/td>\nYes<\/td>\nNo<\/td>\n<\/tr>\n
                        525<\/td>\nNo<\/td>\nYes<\/td>\nYes<\/td>\n<\/tr>\n
                        350<\/td>\nYes<\/td>\nNo<\/td>\nYes<\/td>\n<\/tr>\n
                        710<\/td>\nYes<\/td>\nNo<\/td>\nYes<\/td>\n<\/tr>\n
                        429<\/td>\nNo<\/td>\nYes<\/td>\nNo<\/td>\n<\/tr>\n
                        906<\/td>\nYes<\/td>\nYes<\/td>\nNo<\/td>\n<\/tr>\n
                        634<\/td>\nYes<\/td>\nNo<\/td>\nNo<\/td>\n<\/tr>\n
                        430<\/td>\nYes<\/td>\nNo<\/td>\nYes<\/td>\n<\/tr>\n
                        275<\/td>\nNo<\/td>\nNo<\/td>\nYes<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n
                        \n
                        \n

                        Exercise 5<\/p>\n<\/header>\n

                        \n

                        For each number, identify if it is divisible by 2, 3, and 5. Check your work using the answer key at the end of the exercise.<\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
                        Number<\/th>\nDivisible by 2<\/th>\nDivisible by 3<\/th>\nDivisible by 5<\/th>\n<\/tr>\n
                        3585<\/span><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                        7548<\/span><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                        5890<\/span><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                        6318<\/span><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                        3905<\/span><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                        5280<\/span><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                        1760<\/span><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                        8007<\/span><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                        6752<\/span><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                        7375<\/span><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                        5523<\/span><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                        2625<\/span><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                        8956<\/span><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                        9150<\/span><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

                        Answers to Exercise 5<\/strong><\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
                        Number<\/th>\nDivisible by 2<\/th>\nDivisible by 3<\/th>\nDivisible by 5<\/th>\n<\/tr>\n
                        3585<\/span><\/td>\nNo<\/td>\nYes<\/td>\nYes<\/td>\n<\/tr>\n
                        7548<\/span><\/td>\nYes<\/td>\nYes<\/td>\nNo<\/td>\n<\/tr>\n
                        5890<\/span><\/td>\nYes<\/td>\nNo<\/td>\nYes<\/td>\n<\/tr>\n
                        6318<\/span><\/td>\nYes<\/td>\nYes<\/td>\nNo<\/td>\n<\/tr>\n
                        3905<\/span><\/td>\nNo<\/td>\nNo<\/td>\nYes<\/td>\n<\/tr>\n
                        5280<\/span><\/td>\nYes<\/td>\nYes<\/td>\nYes<\/td>\n<\/tr>\n
                        1760<\/span><\/td>\nYes<\/td>\nNo<\/td>\nYes<\/td>\n<\/tr>\n
                        8007<\/span><\/td>\nNo<\/td>\nYes<\/td>\nNo<\/td>\n<\/tr>\n
                        6752<\/span><\/td>\nYes<\/td>\nNo<\/td>\nNo<\/td>\n<\/tr>\n
                        7375<\/span><\/td>\nNo<\/td>\nNo<\/td>\nYes<\/td>\n<\/tr>\n
                        5523<\/span><\/td>\nNo<\/td>\nYes<\/td>\nNo<\/td>\n<\/tr>\n
                        2625<\/span><\/td>\nNo<\/td>\nYes<\/td>\nYes<\/td>\n<\/tr>\n
                        8956<\/span><\/td>\nYes<\/td>\nNo<\/td>\nNo<\/td>\n<\/tr>\n
                        9150<\/span><\/td>\nYes<\/td>\nYes<\/td>\nYes<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n

                        Divisibility by 9<\/h1>\n

                        A number is divisible by 9 if the sum (total) of the digits is divisible by 9.<\/p>\n

                        \n
                        \n

                        Example H<\/p>\n<\/header>\n

                        \n

                        135<\/p>\n

                        1 + 3 + 5 = 9<\/p>\n

                        9 is divisible by 9, so 135 is divisible by 9.<\/p>\n<\/div>\n<\/div>\n

                        \n
                        \n

                        Example I<\/p>\n<\/header>\n

                        \n

                        7578<\/span><\/p>\n

                        7 + 5 + 7 + 8 = 27<\/p>\n

                        27 is divisible by 9, so 7578<\/span> is divisible by 9.<\/p>\n<\/div>\n<\/div>\n

                        \n
                        \n

                        Example J<\/p>\n<\/header>\n

                        \n

                        57896<\/span><\/p>\n

                        5 + 7 + 8 + 9 + 6 = 35<\/p>\n

                        35 is not divisible by 9, so 57896<\/span> is not divisible by 9.<\/p>\n<\/div>\n<\/div>\n

                        \n
                        \n

                        Exercise 6<\/p>\n<\/header>\n

                        \n

                        Circle the numbers that are divisible by 9. Check your work using the answer key at the end of the exercise.<\/p>\n

                          \n
                        1. 538<\/li>\n
                        2. 783<\/li>\n
                        3. 954<\/li>\n
                        4. 762<\/li>\n
                        5. 6213<\/span><\/li>\n
                        6. 5742<\/span><\/li>\n
                        7. 7083<\/span><\/li>\n
                        8. 5738<\/span><\/li>\n
                        9. 34937<\/span><\/li>\n
                        10. 39402<\/span><\/li>\n
                        11. 74124<\/span><\/li>\n
                        12. 45683<\/span><\/li>\n<\/ol>\n

                          Answers to Exercise 6<\/strong><\/p>\n

                          The following numbers are divisible by 9: b, c, f, g, j, k<\/p>\n<\/div>\n<\/div>\n

                          \n
                          \n

                          Exercise 7<\/p>\n<\/header>\n

                          \n

                          For each number, identify if it is divisible by 2, 3, 5, and 9. Check your work using the answer key at the end of the exercise.<\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n
                          Number<\/th>\nDivisible by 2<\/th>\nDivisible by 3<\/th>\nDivisible by 5<\/th>\nDivisible by 9<\/th>\n<\/tr>\n
                          453<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                          320<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                          216<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                          726<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                          712<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                          425<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                          630<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                          375<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                          990<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                          210<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

                          Answers to Exercise 7<\/strong><\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n
                          Number<\/th>\nDivisible by 2<\/th>\nDivisible by 3<\/th>\nDivisible by 5<\/th>\nDivisible by 9<\/th>\n<\/tr>\n
                          453<\/td>\nNo<\/td>\nYes<\/td>\nNo<\/td>\nNo<\/td>\n<\/tr>\n
                          320<\/td>\nYes<\/td>\nNo<\/td>\nYes<\/td>\nNo<\/td>\n<\/tr>\n
                          216<\/td>\nYes<\/td>\nYes<\/td>\nNo<\/td>\nYes<\/td>\n<\/tr>\n
                          726<\/td>\nYes<\/td>\nYes<\/td>\nNo<\/td>\nNo<\/td>\n<\/tr>\n
                          712<\/td>\nYes<\/td>\nNo<\/td>\nNo<\/td>\nNo<\/td>\n<\/tr>\n
                          425<\/td>\nNo<\/td>\nNo<\/td>\nYes<\/td>\nNo<\/td>\n<\/tr>\n
                          630<\/td>\nYes<\/td>\nYes<\/td>\nYes<\/td>\nYes<\/td>\n<\/tr>\n
                          375<\/td>\nNo<\/td>\nYes<\/td>\nYes<\/td>\nNo<\/td>\n<\/tr>\n
                          990<\/td>\nYes<\/td>\nYes<\/td>\nYes<\/td>\nYes<\/td>\n<\/tr>\n
                          210<\/td>\nYes<\/td>\nYes<\/td>\nYes<\/td>\nNo<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n
                          \n
                          \n

                          Exercise 8<\/p>\n<\/header>\n

                          \n

                          For each number, identify if it is divisible by 2, 3, 5, and 9. Check your work using the answer key at the end of the exercise.<\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n
                          Number<\/th>\nDivisible by 2<\/th>\nDivisible by 3<\/th>\nDivisible by 5<\/th>\nDivisible by 9<\/th>\n<\/tr>\n
                          837<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                          360<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                          648<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                          981<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                          465<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                          1002<\/span><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                          3520<\/span><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                          6435<\/span><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                          8022<\/span><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                          7425<\/span><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

                          Answers to Exercise 8
                          \n<\/strong><\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n
                          Number<\/th>\nDivisible by 2<\/th>\nDivisible by 3<\/th>\nDivisible by 5<\/th>\nDivisible by 9<\/th>\n<\/tr>\n
                          837<\/td>\nNo<\/td>\nYes<\/td>\nNo<\/td>\nYes<\/td>\n<\/tr>\n
                          360<\/td>\nYes<\/td>\nYes<\/td>\nYes<\/td>\nYes<\/td>\n<\/tr>\n
                          648<\/td>\nYes<\/td>\nYes<\/td>\nNo<\/td>\nYes<\/td>\n<\/tr>\n
                          981<\/td>\nNo<\/td>\nYes<\/td>\nNo<\/td>\nYes<\/td>\n<\/tr>\n
                          465<\/td>\nNo<\/td>\nYes<\/td>\nYes<\/td>\nNo<\/td>\n<\/tr>\n
                          1002<\/span><\/td>\nYes<\/td>\nYes<\/td>\nNo<\/td>\nNo<\/td>\n<\/tr>\n
                          3520<\/span><\/td>\nYes<\/td>\nNo<\/td>\nYes<\/td>\nNo<\/td>\n<\/tr>\n
                          6435<\/span><\/td>\nNo<\/td>\nYes<\/td>\nYes<\/td>\nYes<\/td>\n<\/tr>\n
                          8022<\/span><\/td>\nYes<\/td>\nYes<\/td>\nNo<\/td>\nNo<\/td>\n<\/tr>\n
                          7425<\/span><\/td>\nNo<\/td>\nYes<\/td>\nYes<\/td>\nYes<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n
                          \n
                          \n

                          Exercise 9<\/p>\n<\/header>\n

                          \n

                          For each number, identify if it is divisible by 2, 3, 5, and 9. Check your work using the answer key at the end of the exercise<\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n
                          Number<\/th>\nDivisible by 2<\/th>\nDivisible by 3<\/th>\nDivisible by 5<\/th>\nDivisible by 9<\/th>\n<\/tr>\n
                          1200<\/span><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                          7164<\/span><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                          3681<\/span><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                          8205<\/span><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                          2745<\/span><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                          4320<\/span><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                          7350<\/span><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                          4000<\/span><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                          1368<\/span><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                          6720<\/span><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

                          Answers to Exercise 9
                          \n<\/strong><\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n
                          Number<\/th>\nDivisible by 2<\/th>\nDivisible by3<\/th>\nDivisible by 5<\/th>\nDivisible by 9<\/th>\n<\/tr>\n
                          1200<\/span><\/td>\nYes<\/td>\nYes<\/td>\nYes<\/td>\nNo<\/td>\n<\/tr>\n
                          7164<\/span><\/td>\nYes<\/td>\nYes<\/td>\nNo<\/td>\nYes<\/td>\n<\/tr>\n
                          3681<\/span><\/td>\nNo<\/td>\nYes<\/td>\nNo<\/td>\nYes<\/td>\n<\/tr>\n
                          8205<\/span><\/td>\nNo<\/td>\nYes<\/td>\nYes<\/td>\nNo<\/td>\n<\/tr>\n
                          2745<\/span><\/td>\nNo<\/td>\nYes<\/td>\nYes<\/td>\nYes<\/td>\n<\/tr>\n
                          4320<\/span><\/td>\nYes<\/td>\nYes<\/td>\nYes<\/td>\nYes<\/td>\n<\/tr>\n
                          7350<\/span><\/td>\nYes<\/td>\nYes<\/td>\nYes<\/td>\nNo<\/td>\n<\/tr>\n
                          4000<\/span><\/td>\nYes<\/td>\nNo<\/td>\nYes<\/td>\nNo<\/td>\n<\/tr>\n
                          1368<\/span><\/td>\nYes<\/td>\nYes<\/td>\nNo<\/td>\nYes<\/td>\n<\/tr>\n
                          6720<\/span><\/td>\nYes<\/td>\nYes<\/td>\nYes<\/td>\nNo<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n

                          Topic B: Self-Test<\/h1>\n

                          Mark \/12\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Aim 9\/12<\/strong><\/p>\n

                            \n
                          1. From the list of numbers, write the numbers that are divisible by the specified number.
                            \n48, 925, 1467<\/span>, 2645<\/span>, 5534<\/span>, 7512<\/span>, 31183<\/span>, 52361<\/span><\/p>\n
                              \n
                            1. Which numbers are divisible by 2?<\/li>\n
                            2. Which numbers are divisible by 3?<\/li>\n
                            3. Which numbers are divisible by 5?<\/li>\n
                            4. Which numbers are divisible by 9?<\/li>\n<\/ol>\n<\/li>\n
                            5. For each number, identify if it is divisible by 2, 3, 5, and 9.
                              \n\n\n\n\n\n\n\n\n
                              Number<\/th>\nDivisible by 2<\/th>\nDivisible by 3<\/th>\nDivisible by 5<\/th>\nDivisible by 9<\/th>\n<\/tr>\n
                              1200<\/span><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                              7164<\/span><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                              3681<\/span><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                              8205<\/span><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
                              2745<\/span><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<\/ol>\n

                              Answers to Topic B Self-Test<\/h2>\n
                                \n
                              1. From the list of numbers, write the numbers that are divisible by the specified number.\n
                                  \n
                                1. 48, 7512<\/span>, 5534<\/span><\/li>\n
                                2. 48, 1467<\/span>, 7512<\/span><\/li>\n
                                3. 925, 2645<\/span><\/li>\n
                                4. 1467<\/span><\/li>\n<\/ol>\n<\/li>\n
                                5. For each number, identify if it is divisible by 2, 3, 5, and 9.
                                  \n\n\n\n\n\n\n\n\n
                                  Number<\/th>\nDivisible by 2<\/th>\nDivisible by 3<\/th>\nDivisible by 5<\/th>\nDivisible by 9<\/th>\n<\/tr>\n
                                  1200<\/span><\/td>\nYes<\/td>\nYes<\/td>\nYes<\/td>\nNo<\/td>\n<\/tr>\n
                                  7164<\/span><\/td>\nYes<\/td>\nYes<\/td>\nNo<\/td>\nYes<\/td>\n<\/tr>\n
                                  3681<\/span><\/td>\nNo<\/td>\nYes<\/td>\nNo<\/td>\nYes<\/td>\n<\/tr>\n
                                  8205<\/span><\/td>\nNo<\/td>\nYes<\/td>\nYes<\/td>\nNo<\/td>\n<\/tr>\n
                                  2745<\/span><\/td>\nNo<\/td>\nYes<\/td>\nYes<\/td>\nYes<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<\/ol>\n","protected":false},"author":999,"menu_order":3,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-44","chapter","type-chapter","status-publish","hentry"],"part":35,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/math023\/wp-json\/pressbooks\/v2\/chapters\/44","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/math023\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/math023\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/math023\/wp-json\/wp\/v2\/users\/999"}],"version-history":[{"count":1,"href":"https:\/\/pressbooks.bccampus.ca\/math023\/wp-json\/pressbooks\/v2\/chapters\/44\/revisions"}],"predecessor-version":[{"id":45,"href":"https:\/\/pressbooks.bccampus.ca\/math023\/wp-json\/pressbooks\/v2\/chapters\/44\/revisions\/45"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/math023\/wp-json\/pressbooks\/v2\/parts\/35"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/math023\/wp-json\/pressbooks\/v2\/chapters\/44\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/math023\/wp-json\/wp\/v2\/media?parent=44"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/math023\/wp-json\/pressbooks\/v2\/chapter-type?post=44"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/math023\/wp-json\/wp\/v2\/contributor?post=44"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/math023\/wp-json\/wp\/v2\/license?post=44"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}