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Prime factors of an integer using division worksheet (with solutions)

Prime factors of an integer using division worksheet (with solutions)

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

10 August 2026

pdf, 63.29 KB
pdf, 63.29 KB

A worksheet on expressing integers as a product of their prime factors using repeated division. Detailed solutions are provided.

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A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

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GCSE 9-1 Math Worksheets Bundle | HCF LCM Prime Factors Integers

A collection of eight worksheets on integers based on the GCSE 9-1 specification. The following topics are included: * Place value-Ordering numbers: ordering sequences of five numbers with up to 6 digits * Operations with directed numbers: performing the four operations with directed numbers * Ordering and comparing integers: putting integers in ascending order and comparing integers using the symbols < and > * Order of operations in calculations with positive and negative numbers: evaluating expressions involving the four operations between positive positive and negative numbers (addition, subtraction, multiplication, division and exponents) * Identifying Prime Numbers: finding the factors of given numbers, identifying the numbers that are prime and making general conclusions about prime numbers * Prime factors of an integer using division: expressing integers as a product of their prime factors using repeated division * Factors and multiples: identifying the factors and the multiples of given numbers * Highest common factor, lowest common multiple and product of primes: evaluating the highest common factor and the lowest common multiple of numbers after expressing them as a product of primes Detailed solutions are included. Master integers, directed numbers, and number properties with this comprehensive, no-prep 8-worksheet bundle! Perfectly tailored for KS3 maths and GCSE 9-1 exam preparation (Foundation and Higher tiers). This packet covers place value, directed numbers, HCF, LCM, prime factors, and BIDMAS. Full, step-by-step worked solutions are included for easy marking, self-assessment, or independent revision. Ideal for classwork, homework, and cover lessons! ________________________________________ Looking for a comprehensive, zero-prep way to build student confidence with positive and negative numbers? This GCSE 9-1 Maths Worksheets Bundle contains 8 carefully structured practice packs engineered to help students achieve complete mastery over integers, factors, and basic number operations. Whether you are prepping Year 11s for their GCSE exams, introducing core number skills to Year 7 and 8, or providing targeted intervention, these clean layouts keep students focused. Every single worksheet comes paired with a complete, step-by-step worked solution page—perfect for quick teacher marking, independent self-assessment, or hassle-free cover lessons! ________________________________________ **What is Included in This 8-Part Bundle?** • **Place Value & Ordering Whole Numbers:** Practice sorting large numbers up to six digits from least to greatest. • **Ordering & Comparing Integers:** Deepen understanding of number lines by arranging negative numbers, positive numbers, and zero. • **Operations with Directed Numbers:** Fluency practice for adding, subtracting, multiplying, and dividing positive and negative integers. • **Order of Operations (BIDMAS):** Challenge students with multi-step calculations involving indices, brackets, and directed numbers. • **Identifying Prime Numbers & Factors:** Master identification of factors, composite numbers, and primes up to 100. • **Prime Factors using Division:** Step-by-step division ladder exercises to express numbers as a product of their prime factors. • **Factors and Multiples:** Practice matching, Venn diagram sorting up to 30, and identifying the "odd one out." • **HCF & LCM of Numbers:** Find the Highest Common Factor and Lowest Common Multiple using prime factor breakdown. ________________________________________ **Perfect For:** • Key Stage 3 (KS3): Year 7, 8, and 9 core curriculum and mastery tracking • Key Stage 4 (KS4): GCSE 9-1 Foundation tier revision and Higher tier baseline assessment • Independent Study: Homework assignments, morning tasks, or retrieval practice • Cover Work: Complete "ready-to-print" packages for supply teachers ________________________________________ **Curriculum Alignment** • UK National Curriculum: Key Stage 3 & Key Stage 4 Maths (Number properties, calculations, and accuracy) • Exam Boards: Fully supports AQA, Edexcel, and OCR GCSE Maths specifications

£5.90
Bundle

8th Grade Math Review Bundle | GCF LCM Percentages Sequences Worksheets

Six worksheets for Year 8 students on the following topics: * Factors, multiples, HCF and LCM. * Prime factors of an integer using division. * Highest common factor using prime factorisation. * Lowest common multiple using prime factorisation. * Percentages. * The nth term of a sequence. Detailed solutions are included. Master secondary maths essentials with this comprehensive, no-prep worksheet bundle designed for KS3 and Year 8/9 revision. This resource targets Highest Common Factor (HCF), Lowest Common Multiple (LCM), multi-step percentage change, and finding the nth term of linear sequences. ________________________________________ Looking for a rigorous, ready-to-print maths review pack that breaks down complex topics step-by-step? This comprehensive maths worksheet bundle is specifically designed to reinforce foundational number sense and algebra skills for Key Stage 3 students. Whether you are preparing for end-of-term assessments, looking for high-quality homework tasks, or need reliable cover work, this pack has you covered. **What Topics Are Covered?** • **Factors & Multiples**: Listing factors, finding common factors, and identifying multiples from a specified list. • **HCF & LCM:** Finding the highest common factor and lowest common multiple using both traditional listing and advanced prime factorisation layouts. • **Prime Factorisation**: Writing large integers as a product of their prime factors using structured division ladder methods. • **Percentages Masterclass**: Expressing quantities as percentages, increasing/decreasing amounts (including £ currency), and calculating percentage changes (increase vs. decrease). • **Sequences & Algebra**: Working out the first terms or the 100th term of linear sequences given the nth term formula, plus generating arithmetic sequences from a first term (a) and common difference (d). **What Is Included in This Download?** • Student Worksheet PDFs: Clean, minimalist layouts that provide plenty of workspace for pupils to show their workings. • Complete Answer Keys: Fully worked-out step-by-step solutions showing the exact calculations—perfect for quick teacher marking or student self-assessment. • Real-World Word Problems: Contextual application tasks (such as grouping company employees or tracking recurring lesson schedules) to build mathematical reasoning. **Curriculum Alignment** • UK National Curriculum: Seamlessly covers Key Stage 3 (KS3) and Year 8/9 criteria for number sense, prime factor decomposition, percentage change calculations, and linear sequence rules. ________________________________________

£3.85
Bundle

Prime factorisation, HCF and LCM worksheets (with solutions)

Three worksheets on finding the prime factorisation of numbers using repeated division by their prime factors and using the prime factorisation of two numbers to obtain their highest common factor and their lowest common multiple. Detailed solutions are included

£2.60

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