Mathematics
Multiplication & Division
Conceptual
11–12 yrs
Factors, multiples, and primes (age 11+)
因数、倍数与质数（11岁以上）
Description
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
Mastery Evidence
- 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 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?
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