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Prime Factorisation•
Types of Number

Prime Factor Decomposition Using Factor Trees WORKSHEET

Suitable for Year groups: Year 8, Year 9, Year 10
GCSE Tier: Foundation/Higher
Targeting grades: 4-5
Prerequisite knowledge: Prime numbers below thirty, finding factors.

Click here for the Prime Factorisation Prerequisite Knowledge Check
Learning Objective: Use factor trees to find the product of prime factors in index notation for increasingly large numbers

Prime Factor Decomposition Using Factor Trees WORKSHEET DESCRIPTION

Our structured worksheet, starting with an example, asks students to find the prime factor decomposition of numbers up to 3000.

Finding the product of prime factors is carried out by using factor trees. In section A, the factor trees are drawn out for students already, and we differentiate all factors into prime or composite numbers. In this section, all numbers have four prime factors, and students must write their answers in index form.

In section B, students will draw their factor trees to find the prime factor decomposition of six numbers ranging in difficulty from 32 to 2925.

All worksheets are created by the team of experienced teachers at Cazoom Maths.

Prime Factor Decomposition Usign Factor Trees Worksheet perfect for students in year 8,9 and 10

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Frequently Asked Questions

This worksheet is designed for students in Year 8, Year 9, and Year 10, making it versatile across the key stage 3 to 4 transition. It's particularly useful for GCSE preparation as it covers both Foundation and Higher tier content. The structured approach with guided examples makes it accessible for this wide age range while building towards more complex decompositions.