NumberDiagram

Prime Factor Trees

Part of Factors, Multiples & Primes · GCSE GCSE Mathematics revision

This diagram covers Prime Factor Trees within Factors, Multiples & Primes for GCSE Mathematics. Revise Factors, Multiples & Primes in Number for GCSE Mathematics with 14 exam-style questions and 22 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 4 of 9 in this topic. Focus on the labels, the relationships between parts, and the explanation that turns the diagram into an exam-ready answer.

Topic position

Section 4 of 9

Practice

14 questions

Recall

22 flashcards

Prime Factor Trees

Break down composite numbers into prime factors:

Finding prime factors of 60

       60
      /  \
     4    15
    / \   / \
   2   2 3   5

Prime factors: 2 × 2 × 3 × 5 = 2² × 3 × 5

Finding prime factors of 84

       84
      /  \
     4    21
    / \   / \
   2   2 3   7

Prime factors: 2 × 2 × 3 × 7 = 2² × 3 × 7

Keep building this topic

Read this section alongside the surrounding pages in Factors, Multiples & Primes. That gives you the full topic sequence instead of a single isolated revision point.

Finding Factors Systematically Finding HCF and LCM Building Blocks of Numbers Key Definitions

Practice Questions for Factors, Multiples & Primes

Which of these numbers is prime?

A. 27
B. 29
C. 33
D. 35

1 markfoundation

Explain why 51 is not a prime number.

2 marksstandard

Quick Recall Flashcards

Multiple

A number in the times table of another number. Example: Multiples of 5 are 5, 10, 15, 20, 25, 30...

Factor

A number that divides exactly into another number with no remainder. Example: Factors of 12 are 1, 2, 3, 4, 6, 12

14 questions on Factors, Multiples & Primes — practise free

Instant marking, adaptive difficulty, and 22 spaced repetition flashcards. Free until your GCSEs.

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Finding Factors Systematically

Finding HCF and LCM