# Factor Trees Worksheets • This field is for validation purposes and should be left unchanged.

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• Section 1 of the factor trees worksheet contains 36 skills-based questions, in 3 groups to support differentiation
• Section 2 contains 4 applied factor trees questions with a mix of worded problems and deeper problem solving questions
• Section 3 contains 4 foundation and higher level GCSE exam style factor trees questions
• Answer keys and a mark scheme for all factor trees questions are provided
• Follows variation theory with plenty of opportunities for students to work independently at their own level
• All questions created by fully qualified expert secondary maths teachers
• Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards

### Factor trees at a glance

Factor trees are used to find the prime factors of a number. Any number with two or more factors is called a composite number and can be written as a product of prime numbers.

To find the prime factors of a number we can use a prime factor tree with the given number at the top. We find a factor pair of the number and represent these on two branches. Next we find factor pairs of each of these numbers and continue in this way until we get to prime numbers. These prime numbers are the prime factors of the original number. We can write a number as a product of its prime factors by writing these prime factors in a product calculation, using exponents where appropriate.

Although multiple different prime factor trees could be created for a number, the final prime factorisation will always be the same. The prime factors of two or more numbers can be compared to find the lowest common multiple (LCM/least common multiple) or highest common factor (HCF/greatest common factor/GCF) of those numbers.

Looking forward, students can then progress to additional number worksheets, for example aor For more teaching and learning support on Number our GCSE maths lessons provide step by step support for all GCSE maths concepts.

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