Mathematics·Multiplication & Division·conceptual
Factors, multiples, and primes (age 11+)
Use the concepts and vocabulary of prime numbers, factors, multiples, common factors, common multiples, highest common factor (HCF), lowest common multiple (LCM), and prime factorisation including product notation and the unique factorisation property
Suggested ages 11–12
Evidence of understanding
- Express any integer as a product of its prime factors using index notation
- Find the HCF and LCM of two numbers using prime factorisation
- Apply the unique factorisation theorem to explain why every number has exactly one set of prime factors
Assessment prompt
Can Factors, multiples, and primes (age 11+) find the highest common factor of two numbers like 24 and 36 — working out the biggest number that divides exactly into both — and explain how they found it?
Standards alignment
6.NS.4US · ccss-math
Find Greatest Common Factor and Least Common Multiple
Common Core State Standards for Mathematics · 6
KS3.Maths.Num.3GB · uk-nc-2013
Prime Numbers, Factors and Multiples
The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3