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Year 7 Number and algebra WA7MNAA2 4 pages · 34 questions Core
Year 7 Prime Factorisation Worksheet
Free Year 7 prime factorisation worksheet (WA7MNAA2): factor trees, index form, HCF and LCM problems and challenge questions. With marking key.
What's covered
- Identifying prime and composite numbers
- Writing prime factorisations with factor trees and index notation
- Using prime factors to find HCF and LCM
About this worksheet
This free Year 7 prime factorisation worksheet is written for the Western Australian curriculum and mapped to SCSA content description WA7MNAA2. It targets one skill so students can practise until it sticks: by the end, students can say “I can write whole numbers as products of prime factors using index notation, and use prime factors to solve problems.”
What’s inside
- Key idea box – a short explanation with worked examples to read before starting.
- A · Fluency (16 questions) – quick practice to build accuracy.
- B · Core (10 questions) – worded problems set in everyday Australian contexts.
- C · Reasoning (4 questions) – explain, justify and spot the error.
- D · Challenge (4 questions) – harder multi-step and problem-solving questions for students ready to stretch.
- Separate marking key – every answer with working, plus mark allocations and marking criteria for reasoning questions.
Skills covered
- Identifying prime and composite numbers
- Writing prime factorisations with factor trees and index notation
- Using prime factors to find HCF and LCM
How to use this worksheet
Start with the Key idea box, then complete Section A without a calculator. Most students should attempt Sections B and C; Section D suits students aiming for the top of the class or preparing for accelerated or extension maths. The worksheet is marked out of 56, and the score box on the last page helps students see which section needs more practice.
Common mistakes to watch for
- Calling 1 a prime number
- Stopping at composite factors (36 = 4 × 9)
- Forgetting index notation for repeated primes
- Missing a prime factor
Where this fits in the WA Year 7 sequence
Prime Factorisation sits in the Algebraic techniques sub-strand of Number and algebra. It is one of a set of short, single-skill EduLift worksheets that split each Year 7 content description into sub-skills. Use the previous and next links to work through the sequence in order.
Common errors we see in tutoring
- Calling 1 a prime number
- Stopping at composite factors (36 = 4 × 9)
- Forgetting index notation for repeated primes
- Missing a prime factor
Answer key (with worked solutions)
The answer key is a separate PDF with every question worked, not just the final answers.
Download the answer key (PDF)Stuck on a section? That's what our Year 7 tutors are for.
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