Real Numbers, Part 1: Primes, HCF and LCM
Every whole number greater than 1 is built from primes — in exactly one way.
In this lesson you will
- Express a composite number as a product of primes using a factor tree or repeated division
- State the Fundamental Theorem of Arithmetic and explain why the factorisation is unique
- Find the HCF and LCM of two or three numbers by prime factorisation
- Verify HCF × LCM = product for two numbers and know when it fails
- Solve word problems on bells, buses, tiles and packing using HCF and LCM