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
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1590 concepts · 8 subjects
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Teaching approaches
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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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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 11–12
Standards