因数、倍数和质数（11岁及以上）
Factors, multiples, and primes (age 11+)
运用质数、因数、倍数、公因数、公倍数、最大公因数、最小公倍数以及质因数分解（包括乘积记法和唯一分解性质）的概念与词汇。
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
学习证据 / Evidence
- 用指数记法将任意整数表示为其质因数的乘积。
- 利用质因数分解求两个数的最大公因数和最小公倍数。
- 应用唯一分解定理解释为什么每个整数都恰好有一组质因数。
- 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
评估问题 / Assessment
{{name}}能找出两个数（如24和36）的最大公因数——也就是能同时整除这两个数的最大数——并解释自己是怎么找到的吗？
Can {{name}} 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?