🔢 Mathematics · Multiplication & Division

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

Typical age: 9–11 years

“Can your child 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?”

0 / 6 mastered

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Needs first

All times tables to 12×12REQUIRED
Tables to 12×12 fluency is prerequisite to finding factor pairs up to 100
Factor Pairs & CommutativityREQUIRED
Recognising factor pairs at Y4 is prerequisite to systematically finding all factor pairs

Unlocks next

Factors, multiples, and primes (age 9+)REQUIRED
Factor/multiple knowledge is prerequisite to solving problems with them
Simplifying FractionsREQUIRED
Using common factors/multiples requires knowledge of common factors and multiples
Fractions, Decimals & Percentages
Factor pairs as structural tool for simplifying multiplication
Factors, multiples, and primes (age 11+)REQUIRED
HCF/LCM/prime factorisation extends Y5-6 factor pairs and common factors/multiples
Ratio NotationREQUIRED
Simplifying ratios requires finding common factors — extends KS2 factor pairs and common factors
Prime numbersREQUIRED
Must find factor pairs before reasoning about which numbers have exactly 2 factors (primes)