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|