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ReasoningAges 10-12

Counting positive divisors

Use the prime factorisation exponents (a + 1)(b + 1) to count all positive divisors of a number. Review suitability for your learners before teaching.

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Age band:Ages 10-12Ages 13-15

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Worksheet StudioPractice pack · Ages 10-12

Counting positive divisors

Take your time. Show your thinking.

  1. 1. How many positive whole-number factors (divisors) does 27 have?

    27 h · Counting positive divisors

  2. 2. How many positive whole-number factors (divisors) does 26 have?

    26 h · Counting positive divisors

  3. 3. How many positive whole-number factors (divisors) does 25 have?

    25 h · Counting positive divisors

  4. 4. How many positive whole-number factors (divisors) does 53 have?

    53 h · Counting positive divisors

  5. 5. How many positive whole-number factors (divisors) does 13 have?

    13 h · Counting positive divisors

  6. 6. How many positive whole-number factors (divisors) does 54 have?

    54 h · Counting positive divisors

  7. 7. How many positive whole-number factors (divisors) does 15 have?

    15 h · Counting positive divisors

  8. 8. How many positive whole-number factors (divisors) does 28 have?

    28 h · Counting positive divisors

  9. 9. How many positive whole-number factors (divisors) does 46 have?

    46 h · Counting positive divisors

  10. 10. How many positive whole-number factors (divisors) does 29 have?

    29 h · Counting positive divisors

  11. 11. How many positive whole-number factors (divisors) does 37 have?

    37 h · Counting positive divisors

  12. 12. How many positive whole-number factors (divisors) does 43 have?

    43 h · Counting positive divisors
12 questions · Seed 43 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 10-12

Counting positive divisors

Answers and reasoning. Review before teaching.

  1. 1. How many positive whole-number factors (divisors) does 27 have?

    4

    The positive divisors of 27 are 1, 3, 9, 27, which is 4 factors in total.

  2. 2. How many positive whole-number factors (divisors) does 26 have?

    4

    The positive divisors of 26 are 1, 2, 13, 26, which is 4 factors in total.

  3. 3. How many positive whole-number factors (divisors) does 25 have?

    3

    The positive divisors of 25 are 1, 5, 25, which is 3 factors in total.

  4. 4. How many positive whole-number factors (divisors) does 53 have?

    2

    The positive divisors of 53 are 1, 53, which is 2 factors in total.

  5. 5. How many positive whole-number factors (divisors) does 13 have?

    2

    The positive divisors of 13 are 1, 13, which is 2 factors in total.

  6. 6. How many positive whole-number factors (divisors) does 54 have?

    8

    The positive divisors of 54 are 1, 2, 3, 6, 9, 18, 27, 54, which is 8 factors in total.

  7. 7. How many positive whole-number factors (divisors) does 15 have?

    4

    The positive divisors of 15 are 1, 3, 5, 15, which is 4 factors in total.

  8. 8. How many positive whole-number factors (divisors) does 28 have?

    6

    The positive divisors of 28 are 1, 2, 4, 7, 14, 28, which is 6 factors in total.

  9. 9. How many positive whole-number factors (divisors) does 46 have?

    4

    The positive divisors of 46 are 1, 2, 23, 46, which is 4 factors in total.

  10. 10. How many positive whole-number factors (divisors) does 29 have?

    2

    The positive divisors of 29 are 1, 29, which is 2 factors in total.

  11. 11. How many positive whole-number factors (divisors) does 37 have?

    2

    The positive divisors of 37 are 1, 37, which is 2 factors in total.

  12. 12. How many positive whole-number factors (divisors) does 43 have?

    2

    The positive divisors of 43 are 1, 43, which is 2 factors in total.

12 questions · Seed 43 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 10-12

Counting positive divisors

Take your time. Show your thinking.

  1. 1. How many positive whole-number factors (divisors) does 27 have?

    27 h · Counting positive divisors

  2. 2. How many positive whole-number factors (divisors) does 26 have?

    26 h · Counting positive divisors

  3. 3. How many positive whole-number factors (divisors) does 25 have?

    25 h · Counting positive divisors

  4. 4. How many positive whole-number factors (divisors) does 53 have?

    53 h · Counting positive divisors

  5. 5. How many positive whole-number factors (divisors) does 13 have?

    13 h · Counting positive divisors

  6. 6. How many positive whole-number factors (divisors) does 54 have?

    54 h · Counting positive divisors

  7. 7. How many positive whole-number factors (divisors) does 15 have?

    15 h · Counting positive divisors

  8. 8. How many positive whole-number factors (divisors) does 28 have?

    28 h · Counting positive divisors

  9. 9. How many positive whole-number factors (divisors) does 46 have?

    46 h · Counting positive divisors

  10. 10. How many positive whole-number factors (divisors) does 29 have?

    29 h · Counting positive divisors

  11. 11. How many positive whole-number factors (divisors) does 37 have?

    37 h · Counting positive divisors

  12. 12. How many positive whole-number factors (divisors) does 43 have?

    43 h · Counting positive divisors
12 questions · Seed 43 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 10-12

Counting positive divisors

Answers and reasoning. Review before teaching.

  1. 1. How many positive whole-number factors (divisors) does 27 have?

    4

    The positive divisors of 27 are 1, 3, 9, 27, which is 4 factors in total.

  2. 2. How many positive whole-number factors (divisors) does 26 have?

    4

    The positive divisors of 26 are 1, 2, 13, 26, which is 4 factors in total.

  3. 3. How many positive whole-number factors (divisors) does 25 have?

    3

    The positive divisors of 25 are 1, 5, 25, which is 3 factors in total.

  4. 4. How many positive whole-number factors (divisors) does 53 have?

    2

    The positive divisors of 53 are 1, 53, which is 2 factors in total.

  5. 5. How many positive whole-number factors (divisors) does 13 have?

    2

    The positive divisors of 13 are 1, 13, which is 2 factors in total.

  6. 6. How many positive whole-number factors (divisors) does 54 have?

    8

    The positive divisors of 54 are 1, 2, 3, 6, 9, 18, 27, 54, which is 8 factors in total.

  7. 7. How many positive whole-number factors (divisors) does 15 have?

    4

    The positive divisors of 15 are 1, 3, 5, 15, which is 4 factors in total.

  8. 8. How many positive whole-number factors (divisors) does 28 have?

    6

    The positive divisors of 28 are 1, 2, 4, 7, 14, 28, which is 6 factors in total.

  9. 9. How many positive whole-number factors (divisors) does 46 have?

    4

    The positive divisors of 46 are 1, 2, 23, 46, which is 4 factors in total.

  10. 10. How many positive whole-number factors (divisors) does 29 have?

    2

    The positive divisors of 29 are 1, 29, which is 2 factors in total.

  11. 11. How many positive whole-number factors (divisors) does 37 have?

    2

    The positive divisors of 37 are 1, 37, which is 2 factors in total.

  12. 12. How many positive whole-number factors (divisors) does 43 have?

    2

    The positive divisors of 43 are 1, 43, which is 2 factors in total.

12 questions · Seed 43 · Age guidance, not curriculum certification