A worksheet on prime factorization. The exercises require to find the prime factorization of a number using repeated division. Detailed solutions are included.
Master prime factorisation with this comprehensive, print-and-go 30-problem maths worksheet! Perfect for Year 5, Year 6, and Key Stage 3 (Year 7) classwork, homework, or revision. Includes complete, step-by-step division ladder worked solutions to make marking effortless and support student self-correction.
Looking for a rigorous, ready-to-teach resource to help your students master prime factorisation?
This comprehensive Prime Factorisation Worksheet Pack provides 30 carefully structured problems designed to build deep conceptual understanding. Moving smoothly from simpler two-digit numbers up to challenging three-digit numbers, this worksheet is the ultimate tool for introducing, reinforcing, or revising prime factor products.
Topics Covered
• Prime Factorisation: Breaking down composite numbers into products of their prime factors.
• Index Notation & Powers: Writing final prime factor products using exponents (e.g., 108 = 2^2 x 3^3).
• Identifying Prime Numbers: Recognizing numbers that cannot be factored further (such as 31, 113, and 601).
• Scaffolded Challenge: Problems range from small numbers (16, 24) to complex three-digit values (408, 945).
What Is Included in This Download?
• 1 Page of High-Quality Student Worksheets: Featuring 30 distinct problems arranged in a clean, highly legible grid format.
• 3 Pages of Complete, Step-by-Step Worked Solutions: Not just a basic answer sheet! Every single problem includes full division ladder logic, making student self-correction or teacher marking completely stress-free.
Why Teachers Love This Resource
• Zero Prep Required: Just print the pages and hand them out immediately to your classes.
• Clear Visual Layout: The answer key uses explicit division ladder structures to visually model the factorisation process.
• Perfect for Differentiation: Offers quick wins for struggling learners while providing rigorous three-digit numbers to challenge high-ability pupils.
Curriculum Alignment
• UK National Curriculum (KS2 / KS3): Covers key objectives for expressing numbers as products of their prime factors using index laws, and builds the foundational skills necessary to find the Highest Common Factor (HCF) and Lowest Common Multiple (LCM).
Get this resource as part of a bundle and save up to 42%
A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.
Bundle
Prime and Composite Numbers-Prime Factorization-HCF and LCM Worksheets (with solutions)
A collection of three worksheets on the following: * Prime numbers and prime factorization. The exercises require to decide whether some given numbers are prime or not and reach some conclusions about prime numbers, find the factors of a number given its prime factorization, find the common factors of two numbers given their prime factorizations and find the prime factorization of a number using repeated division. * Prime factorization. The exercises require to find the prime factorization of a number using repeated division. * Highest common factor and lowest common multiple. The exercises require to find the prime factorization of some numbers and then use it to find their HCF and their LCM. Detailed solutions are included.
£2.90
Bundle
Product of primes, HCF and LCM Bundle
Three worksheets on writing numbers as products of their prime factors and finding their HCF and LCM. Solutions are provided.
£2.50
Something went wrong, please try again later.
This resource hasn't been reviewed yet
To ensure quality for our reviews, only customers who have purchased this resource can review it
Report this resourceto let us know if it violates our terms and conditions.
Our customer service team will review your report and will be in touch.
£1.40