# Understand Prime Factorisations with Indices

In this worksheet, students will select the correct prime factorisation for the given numbers.

This content is premium and exclusive to EdPlace subscribers.

Key stage:  KS 2

Curriculum topic:   Maths and Numerical Reasoning

Curriculum subtopic:   Factors and Multiples

Difficulty level:

#### Worksheet Overview

The list of prime numbers starts as follows:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37........

All other whole numbers are known as composite and can be written as the product of prime factors.

This is known as prime factorisation.

We use indices to tidy up long strings of the same number.

Examples

54 = 2 x 3 x 3 x 3 = 2 x 33

Test it out if you're not sure how we got that!  3 x 3 x 3 = 27 x 2 = 54  - does that make sense now?

We've got one 2 and three lots of 3. We write that as 2 x 33

Let's look at another couple of examples!

28 = 2 x 2 x 7 = 22 x 7

24 = 2 x 2 x 2 x 3 = 23 x 3

### What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Get started

Try an activity or get started for free

• National Tutoring Awards 2023 Shortlisted
• Winner - Private Tutoring
• Finalist
• Winner - Best for Home Learning / Parents