## Factors and Multiples KS2

This collection is one of our Primary Curriculum collections - tasks that are grouped by topic.

## Age 7 to 11 Challenge Level

## Sweets in a Box

## Round and Round the Circle

## Abundant Numbers

## Flashing Lights

## The Moons of Vuvv

The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?

## Mystery Matrix

## One Wasn't Square

## Multiplication Squares

## Factor Lines

## Two Primes Make One Square

Can you make square numbers by adding two prime numbers together?

## Cycling Squares

## Which Is Quicker?

Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?

## Up and Down Staircases

## Factors and Multiples Game

This game can replace standard practice exercises on finding factors and multiples.

## Factor-multiple Chains

## Picture a Pyramid ...

## Counting Cogs

## Factor Track

## Square Subtraction

## Dicey Array

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## Factors Lesson

## Get the most from lessons!

Interactive activities for children

## 2 Teaching Support

## Lesson Slides

## Modelling PowerPoint

## Video Tutorial

## 1 Prior Learning

This worksheet recaps prior learning of factor pairs, before moving onto the main skill of factors.

## Interactive Activity

## 2 Practical Activities

## Supporting Activity

## 2 Varied Fluency

## 2 Reasoning & Problem Solving

## Mixed Practice

## Discussion Problem

## Interactive Challenge Activity

## 2 Additional Activities

## Home Learning Pack

This Autumn week 8 Maths pack contains varied fluency, reasoning and problem solving worksheets.

## Consolidation Pack

## Learning Video Clip

## D Download Packs

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## Factors and Multiples Worksheets

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## Factors and Multiples Worksheet

These sheets have been designed to support your child with their learning of multiples and factors.

The sheets are graded in order of difficulty with the easiest sheet coming first in each section.

Using these sheets will help your child to:

- Know and understand what multiples and factors are;
- apply knowledge of multiples and factors to solve problems;
- Develop and practice their mental calculation skills.

Want to test yourself to see how well you have understood this skill?.

## Multiples and Factors Help

Multiples worksheets, factors worksheets.

## Factors and Multiples Online Quiz

12 is a multiple of 4 because 4 + 4 + 4 = 12 (or 4 x 3 = 12)

27 is a multiple of 9 because 9 + 9 + 9 = 27 (or 9 x 3 = 27)

17 is not a multiple of 4 because it cannot be made by adding groups of 4 together.

A factor is a number that divides into another number with no remainder.

In other words every number is divisible by each of its factors.

1 is a factor of every whole number, because every integer is divisible by one.

3 and 7 are both factors of 21 because 3 x 7 = 21

10 and 6 are both factors of 60 because 10 x 6 = 60

7 is not a factor of 24 because 24 is not divisible by 7 (24 ÷ 7 = 3 remainder 3).

Multiples and Factors are connected with each other:

- if we know that 3 is a factor of 12, then 12 is a multiple of 3
- if we know that 33 is a multiple of 11, then 11 is a factor of 33.
- also, if we know that 24 is not a multiple of 7, then 7 is not factor of 24.

The example below shows the relationship visually.

If we know that 3 is a factor of 24, then 24 must be a multiple of 3.

If we know that 24 is a multiple of 3, then 3 must be a factor of 24.

## Multiples and Factors Worksheets

We have split our worksheets into 3 different sections:

- the first section contains only worksheets about Multiples
- the second section contains only worksheets about Factors
- the third section contains worksheets with both Factors and Multiples
- Multiples Sheet 4:1
- PDF version
- Multiples Sheet 4:2
- Multiples Sheet 4:3
- Multiples Sheet 4:4

We have two worksheets on finding Factor Pairs up to 100.

We have two worksheets which involve finding all the factors of different numbers.

- Factor Pairs Worksheet 1
- Factor Pairs Worksheet 2
- Factors Worksheet 4:1
- Factors Worksheet 4:2
- Factors and Multiples Worksheet 4:1
- Factors and Multiples Worksheet 4:2
- Factors and Multiples Worksheet 4:3

## Factor and Multiples Riddles

Each riddle consists of some clues and a selection of possible answers.

Solving the clues gradually eliminates all the incorrect answers leaving just one solution.

## Looking for some easier Multiples Sheets

- round a number to the nearest 10, 100 or 1000;
- use the > and < symbols correctly for inequalities;
- use multiples and apply them to solve problems.
- Rounding Inequalities Multiples Worksheets

## Looking for some harder Factors and Multiples Worksheets

We also have some more advanced worksheets about multiples and factors.

The worksheets below are more suitable for 6th graders and above.

- Greatest Common Factor Worksheets
- Least Common Multiple Worksheets
- Factor Tree Worksheets (easier)
- Prime Factorization Worksheets (harder)

## More Recommended Math Resources

Take a look at some more of our worksheets similar to these.

## Divisibility Rules 1-10 Chart

## Balancing Math Equations Worksheets

## Sieve of Erastosthenes

## Want to find out more about primes?

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This quick quiz tests your knowledge and skill with factors and multiples here!

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## IMAGES

## VIDEO

## COMMENTS

Questions 1, 4 and 7 (Problem Solving). Developing Find missing factors within a multiplication square where the end number for.

Questions 1, 4 and 7 (Problem Solving). Developing Identify the pair of numbers that share the most common factors by systematically checking each times

This superb mastery-style teaching pack has a presentation to use with the whole class, together with a resource of fluency, reasoning and problem-solving

Questions 3, 6 and 9 (Reasoning and Problem Solving). Developing Spot the odd one out when using arrays to multiply factors. Requires knowledge of the 2, 3

Look at what happens when you take a number, square it and subtract your answer. What kind of number do you get? Can you prove it? Dicey Array. Age 5 to 11

Reasoning and Problem Solving. Step 1: Multiples. National Curriculum Objectives: Mathematics Year 5: (5C5a) Identify multiples and factors

Greater Depth Use 4 digit cards to make composite numbers up to 50 with prime factors that meet specified criteria. Questions 2, 5 and 8 (Problem Solving).

Step 2: Factors Year 5 Resource Pack includes a teaching PowerPoint and differentiated varied fluency and reasoning and problem solving resources for Autumn

This worksheet includes varied fluency, reasoning and problem solving questions for pupils to practise the main skill of factors. Login to download. Classroom

apply knowledge of multiples and factors to solve problems;; Develop and practice their mental calculation skills. Want to test yourself to see how well you