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Factor pairs

  • Year group: Year 4
  • Term: Spring
  • Topic: Factors, multiples and primes
  • Duration: 1 weeks
  • Keystage: KS2
  • Age Range: 8 to 9 yrs
  • Unit can be taught out of sequence: N
  • Week Range: 1

In this chapter, pupils use their knowledge of multiplication to recognise and use factor pairs.

Building on their knowledge of the commutative property of multiplication (ie, that 6 x 4 = 4 x 6), pupils realise that the order of a factor pair does not alter the product. With this in mind, they use factor pairs in calculations. For example, in calculating 16 x 25, pupils recognise that 16 = 4 x 4 and find 4 x 25 x 4 = 100 x 4 = 400.

While this topic deserves dedicated lesson time, it is important that opportunities to use factor pairs and commutativity are planned for throughout the year. Additionally, these concepts should be referenced and applied across the rest of the mathematics curriculum.

 Download all factors, multiples and primes chapters as a PDF 

Resources for this topic

White Rose Maths

Factor pairs

Direct link to our Y4 scheme.
By WRMaths

Factor pairs

Y4 resource for factor pairs.
By WRMaths

Mathematics Mastery

Factor pairs

Select ‘View more’ for an accompanying video.

Enabling teachers to continuously develop their practice is a key element of the Mathematics Mastery Programme.

This CPD video provides step-by-step guidance on factor pairs.

Our videos aim to:

• Model teaching tips, techniques and clarify how to make connections between concrete, pictorial and abstract representations
• Support the teaching of different methods and concepts, rather than focusing on one method only
• Enhance subject knowledge and support non-specialists

Like what you see?

Mathematics Mastery is a professional development programme for teachers with a mission to transform mathematics education in the UK.

This task is just a taster of the complete classroom resources we offer. We also provide in-depth development training, online CPD, specialist support and assessment tools.

We believe all elements of our programme are vital in creating lasting change – enabling every child to enjoy and succeed in mathematics.

Want to find out more? Check out our free resources and blogs or join an information session.

By Mathematics Mastery

Factor pairs

Mathematical discussion is a key element of the Mathematics Mastery programme.

Talk Tasks are a brilliant way of enabling pupils to develop their mathematical language, thinking, understanding and confidence.

This activity explores the concept of factor pairs

• Talk tasks are best completed in mixed attainment pairs, with pupils taking turns to listen and construct arguments
• Emphasis is on discussion rather than the solution, encouraging pupils to use key language and talk in full sentences
• Ask pupils to prove their answers in a variety of ways, using the CPA approach to support mathematical understanding and number sense

Like what you see?

Mathematics Mastery is a professional development programme for teachers with a mission to transform mathematics education in the UK.

This task is just a taster of the complete classroom resources we offer. We also provide in-depth development training, online CPD, specialist support and assessment tools.

We believe all elements of our programme are vital in creating lasting change – enabling every child to enjoy and succeed in mathematics.

Want to find out more? Check out our free resources and blogs or join an information session.
By Mathematics Mastery

Resources shared by teachers

Multiples (LCM) and Factors (HCF)

This is a step by step guide, first through multiples and factors before going onto comparing two or more numbers. I use 'factor bugs' as I found that this suits students who particularly forget what a 'factor' is, as it is a way of working out factors of a number visually. You will have to draw the factor bugs legs. There are notes in the footnote of the slide. There are activities for the students to complete.

Thank you to other TES members who also share.
By Lisa H

Maths Multilink Multiplication Investigation

KS2 Maths activity. Factors, Mulitples and Primes. Finding factors of numbers using multilink cubes. Pupils take any number of cubes and see how many rectangles (including squares!) that they can make. We then discuss that the lengths of the sides are factors of the number of cubes. If you can only make one rectangle (a straight line) this means the number is prime.
By nickwilson1234

Factor Bugs (inc Prime numbers) game

This cute power point introduces factor bugs as a fun way of getting pupils to find factors of numbers. The bugs have legs which are usually in pairs. There’s also the Prime Minister bug.

By DaveGale