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Mathematics·Multiplication & Division·conceptual

Factors, multiples, and primes

Find all factor pairs for a whole number in the range 1–100; identify common factors and common multiples of two numbers; use these concepts to solve problems

Suggested ages 9–11

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Learning journey

Your child is mastering more complex multiplication and division — working with larger numbers, understanding factors and multiples, solving multi-step problems, and beginning to use formal written methods.

Evidence of understanding

  • List all factor pairs of 36: (1,36), (2,18), (3,12), (4,9), (6,6)
  • State the first five multiples of 7
  • Find the common factors of 24 and 36
  • Find all common factors of 36 and 48
  • Identify the first three common multiples of 6 and 8
  • Determine whether a given number (e.g. 97) is prime and justify the reasoning

Assessment prompt

Can Factors, multiples, and primes list all the factor pairs for a number like 36 — (1, 36), (2, 18), (3, 12), (4, 9), (6, 6) — and find factors that two numbers share?

Standards alignment

No external standards are linked to this topic.