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Year 5: Factors, primes and square numbers

Use factors, multiples, primes and square numbers.

Your worksheet

8 original questions with answers and explanations. Use factors, multiples, primes and square numbers.

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  1. List every factor of 24.

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    1, 2, 3, 4, 6, 8, 12, 24

    Each number divides 24 exactly.

  2. Which are prime: 9, 11, 15, 17?

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    11 and 17

    Each has exactly two factors: 1 and itself.

  3. Find the lowest positive common multiple of 6 and 8.

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    24

    6 x 4 and 8 x 3 both equal 24.

  4. Calculate 7 squared.

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    49

    7 x 7 = 49.

  5. Calculate 3 cubed.

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    27

    3 x 3 x 3 = 27.

  6. Is 1 prime? Explain.

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    No. It has only one factor.

    A prime number must have exactly two factors.

  7. Find the missing factor: 12 x ___ = 96.

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    8

    96 divided by 12 = 8.

  8. Two lights flash every 4 seconds and 10 seconds. They flash together now. After how many seconds do they next flash together?

    Show answer and explanation

    20 seconds

    20 is the first common multiple of 4 and 10.

Curriculum and related practice

All questions, passages and answer guidance were written originally for Trace Learn. Curriculum sources define the teaching scope only.

Department for Education: mathematics programmes of study

Curriculum source checked 2026-09-30.

Questions parents ask

What does this worksheet practise?

Use factors, multiples, primes and square numbers.

How should we use the answers?

Try each question before opening its answer. Compare your method with the explanation, then revisit any question you found difficult.

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