# Understand Prime Factorisations with Indices

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

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Use Concepts and Vocabulary for All Numbers

Popular topics:   Prime Numbers worksheets, Factors worksheets

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

28 = 2 x 2 x 7 = 22 x 7

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

This may look challenging, but it becomes much easier as you get used to it. So, let's make a start now!

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