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
Lesson
Set out your lesson
Use prime products to explain HCF and LCM for positive whole numbers.
Before teaching
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Check that 6 divides 18 exactly and ask for the factor pairs of 12. Pause for factor-pair work if needed.
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1 approach
Use prime products to explain HCF and LCM for positive whole numbers.
Use prime products to explain HCF and LCM for positive whole numbers.
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Learning resources
Extra practice links — they do not replace Gakuva’s teaching approach.
BBC Bitesize · Practice link — not the full lesson
KS3 Maths
Before you open · source notes
KS3 Maths supports Factors, multiples, and primes (age 11+). An adult previews and guides; this is a learning page, not a scored quiz.
Free educational page, no sign-in required for the tested path.
Before you openAsk the learner one fact they learned and one question they still have.
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Source, access and review notes
Public BBC Bitesize page. An anonymous GET on 2026-11-12 returned HTTP 200 with no login or payment prompt for this URL. Opening the link does not save practice or assess mastery. An adult should preview and guide the learner.
BBC Bitesize. “KS3 Maths.” External page; Gakuva does not copy, host, embed, or redistribute materials.
Unknown — link only
Check 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
“Can your child 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?”
Curriculum record
- Type
- Conceptual
- Subject
- Mathematics
- Domain
- Multiplication & Division
- Age range
- Ages 11–13
Standards