Factors, Multiples and Primes
Use the concepts and vocabulary of prime numbers, factors (or divisors), multiples, common factors and common multiples (KS3)

Teaching for Understanding
Resources and ideas to promote understanding
Concrete and Pictorial
Primitives (Ptolemy)
A beautiful visualisation of factors; although more focused towards prime factor decomposition, it may be appropriate to show this to students or ask them to draw similar factor diagrams.
A beautiful visualisation of factors; although more focused towards prime factor decomposition, it may be appropriate to show this to students or ask them to draw similar factor diagrams.
Fluency
Collections of standard practice problems in various formats
Worksheets
Finding factors (Super Teacher Worksheets)
Decent basic worksheet for finding factors.
Worksheet generators (WorksheetMath)
Basic practice sheets for factors, multiples, primes, common factors and common multiples.
Worksheet collection (greatschools.org)
Decent basic worksheet for finding factors.
Worksheet generators (WorksheetMath)
Basic practice sheets for factors, multiples, primes, common factors and common multiples.
Worksheet collection (greatschools.org)
 Sheet one: Straightforward problems finding factors of numbers.
 Sheet two: Factors of numbers from 1 to 30.
 Sheet three: Factors of numbers from 31 to 65.
 Sheet four: Factors of numbers from 66 to 100.
 Sheet five: Multiples of 2, 5 and 10.
 Sheet six: Multiples of 3 and 4.
 Sheet seven: Multiples of 6, 7 and 8.
 Sheet eight: Multiples of numbers from 6 to 12.
 Sheet nine: Finding the greatest common factor.
WHiteboard Display
Factors and multiples  Master the Basics (C Norledge)
Mixed practice with simple factor and multiple problems.
Find the common factors  Multiple choice starter (C Norledge)
Can be done with miniwhiteboard or ABCD cards; pupils pick the common factor(s) of given numbers.
Workouts (StudyMaths)
Question generator  good for basic repeated practice.
Factors starter (Ben Cooper via TES)
Quick multiplechoice activity for use as starter/plenary, good with miniwhiteboards.
Mixed practice with simple factor and multiple problems.
Find the common factors  Multiple choice starter (C Norledge)
Can be done with miniwhiteboard or ABCD cards; pupils pick the common factor(s) of given numbers.
Workouts (StudyMaths)
Question generator  good for basic repeated practice.
Factors starter (Ben Cooper via TES)
Quick multiplechoice activity for use as starter/plenary, good with miniwhiteboards.
Games
Factor frenzy (Teach It Maths)
Compete to fill a grid with factors; play in small groups. Requires dice.
Gozinto (Craig Barton)
Dice game working with multiples; a lovely way to fill a few minutes. Requires counters and dice.
Factors and multiples game (NRich)
Paired game, great activity for consolidation of factors and multiples. Premade instructions and game boards are available from Access Maths.
Compete to fill a grid with factors; play in small groups. Requires dice.
Gozinto (Craig Barton)
Dice game working with multiples; a lovely way to fill a few minutes. Requires counters and dice.
Factors and multiples game (NRich)
Paired game, great activity for consolidation of factors and multiples. Premade instructions and game boards are available from Access Maths.
Revision Resources
Factor pairs revision game (matematiko via TES)
A fantastically rich revision activity based on factors, but including a lot of other areas of mathematics. Brilliant for a general revision lesson.
A fantastically rich revision activity based on factors, but including a lot of other areas of mathematics. Brilliant for a general revision lesson.
Enrichment, Extension and Problemsolving
Resources to extend thinking, enrich lessons or enhance problemsolving skills
quick Puzzles and Problems
Divisible by 8 (The Storeroom)
Look for patterns in multiples of 8.
Starter of the Day (Transum)
Find the factors (Link)
More puzzles than you will ever need, but these are superb little starters for getting pupils to practise finding factors or times table knowledge.
Cancelling down (Don Steward)
Cancel fractions with large denominators using knowledge of factors and multiples.
Look for patterns in multiples of 8.
Starter of the Day (Transum)
 Abundant Buses: Nice activity looking at a topic that's not technically on the National Curriculum, but offers a great bit of practice on finding factors.
 Hotel Digital: Finding multiples of 7 in context, linking to finding lowest common multiple.
Find the factors (Link)
More puzzles than you will ever need, but these are superb little starters for getting pupils to practise finding factors or times table knowledge.
Cancelling down (Don Steward)
Cancel fractions with large denominators using knowledge of factors and multiples.
Longer Problems and Investigations
Median (Don Steward)
Numbertype cards (Churchill Maths)
Problemsolving activity, great for practising factors, multiples, primes and other number properties.
Prison investigation (Suffolk Maths)
Worksheetbased version of the prison investigation, reinforcing idea that square numbers have an odd number of factors.
Factors and multiples puzzle (NRich)
Use logic and reasoning to arrange statements and numbers. Requires a board and cards per pair.
 Product Puzzles: Fill factors in a fourbyfour grid to equal the products outside.
 Factorgrams: Pupils draw arrows to show "is a factor". Lovely for drawing out the distinction between factors and multiples.
Numbertype cards (Churchill Maths)
Problemsolving activity, great for practising factors, multiples, primes and other number properties.
Prison investigation (Suffolk Maths)
Worksheetbased version of the prison investigation, reinforcing idea that square numbers have an odd number of factors.
Factors and multiples puzzle (NRich)
Use logic and reasoning to arrange statements and numbers. Requires a board and cards per pair.
Extension Activities
Divisibility testing (The Storeroom)
Extend work on factors and multiples by looking at divisibility tests for 2, 5, 10, 100, 3 and 9.
Counting cogs (NRich)
Working with factors, multiples and common factors to solve problems involving meshing cogs. Could be a good way in to exploring common factors.
Extend work on factors and multiples by looking at divisibility tests for 2, 5, 10, 100, 3 and 9.
Counting cogs (NRich)
Working with factors, multiples and common factors to solve problems involving meshing cogs. Could be a good way in to exploring common factors.
Other Links and Resources
Useful stuff that doesn't fit anywhere else
Interactives
Drag and drop Venn diagrams (Flash Maths)
Question generator using factors, multiples, primes, squares, cubes etc.
Factors, multiples and primes interactive (MathsPad)
A selection of interactive whiteboard activities, including a Venn diagram puzzle, a grid puzzle and some work on prime numbers.
Question generator using factors, multiples, primes, squares, cubes etc.
Factors, multiples and primes interactive (MathsPad)
A selection of interactive whiteboard activities, including a Venn diagram puzzle, a grid puzzle and some work on prime numbers.
Card Sorts
Prime match (Edutopia)
Card sort activity using primes, composites, factors and multiples.
Card sort activity using primes, composites, factors and multiples.
© COPYRIGHT 2015. ALL RIGHTS RESERVED.
