Factors & Multiples 

The concept of factors underpins a many mathematical ideas. For students to gain an understanding of the structure of number and have the facility to recognise and recall a number's factors is, I believe, as valuable as being able to recall multiplication facts. Indeed because the process of finding factors (factorising) is the inverse of multiplying (expanding); then these concepts are inseparable.

This booklet outlines some ways students' understanding of factors might be achieved and I offer two lesson starting points which I have called "Yes and No numbers" and "Guzintas".

Differentiated extension tasks are suggested to cater for students' different learning needs. As such the ideas would be suitable for working with mixed ability classes. 


"Guzintas" KS2 or KS3
"Yes" and "No" Numbers KS2 or KS3
Differentiation and extension tasks:
Listing factors KS2 or KS3
Max Factor KS2 or KS3
Factor-pairs game KS2 or KS3
Splitting numbers into its prime factors KS2, KS3 or KS4
Factor Chains KS2 or KS3
The highest Lowest Common multiple (LCM) problem KS2, KS3 or KS4
Factors and consecutive sums KS2, KS3 or KS4