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Factors and Divisibility Practice Questions

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Updated on Oct 3, 2011

To review factors and divisibility, go to Factors and Divisibility Study Guide.

Factors and Divisibility Practice Questions

Problems

Practice 1

Circle the numbers divisible by 9. Underline the numbers divisible by 2. Draw a square around the numbers divisible by 6.

4 25
5 29
7 36
12 44
13 53
17 81
21 90

Practice 2

  1. What is the prime factorization of 60?
  2. Find the greatest common factor of 20 and 30.
  3. Find the greatest common factor of 63 and 81.
  4. Find the least common multiple of 63 and 81.

Solutions

Practice 1

Circle the numbers divisible by 9. Underline the numbers divisible by 2. Draw a square around the numbers divisible by 6.

Practice 2

  1. 2 × 2 × 3 × 5
  2. The prime factorization of 20 is 2 × 2 × 5. The prime factorization of 30 = 2 × 3 × 5. Because 2 and 5 are prime factors of both 20 and 30, the greatest common factor is 2 times 5, which is 10.
  3. Factors of 63: 1, 3, 7, 9, 21, 63   Factors of 81: 1, 3, 9, 27, 81   All factors have been listed. The largest one in common between 63 and 81 is 9.
  4. Multiples of 63: 63, 126, 189, 252, 315, 378, 441, 504, 567   Multiples of 81: 81, 162, 243, 324, 405, 486, 567   Multiples are listed until one is found in common. The least common multiple of 63 and 81 is 567.
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