HCF is an abbreviation for highest common factor.

LCM is an abbreviation for lowest common multiple.

Prime factorisation is a method to find the prime factors of a given integer.

Expressing a number as a product of primes means writing it uniquely as a product of its factors that are prime numbers.

Checking and securing understanding of LCM and HCF

Maths

In this unit, pupils formalised their understanding of the index laws. This understanding will allow them to perform calculations with values written in standard form more efficiently.

The conditions for standard form mean that pupils have explored how different powers of 10 can be written in the prior unit. In this unit, this understanding is generalised and the index laws formalised.

Arithmetic procedures: index laws

What is the lowest common multiple of 32 and 48? 

What is the lowest common multiple of 32 and 50? 

What is the lowest common multiple of 30 and 48? 

What is the highest common factor of 32 and 48? 

What is the highest common factor of 32 and 50? 

What is the highest common factor of 32, 12 and 48? 

What number is written as $$2^2 × 7 × 19$$ as a product of its prime factors? 

What number is written as $$2^4 × 3 × 17$$ as a product of its prime factors? 

What number is written as $$2^2 × 3^3 $$ as a product of its prime factors? 

Which of these is a prime factor of 10908? 

Which of these is the prime factorisation of 620? 

Which of these is the prime factorisation of 184? 

Starter Quiz