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Identifying Prime Numbers Worksheet | Divisibility Rules & Factors | 4th 5th 6th

Identifying Prime Numbers Worksheet | Divisibility Rules & Factors | 4th 5th 6th

Subject: Mathematics

Age range: 11-14

Resource type: Worksheet/Activity

Last updated

17 August 2026

pdf, 69.83 KB
pdf, 69.83 KB

A worksheet on identifying prime numbers. The exercises require to find the factors of given numbers, identify the numbers that are prime and make general conclusions about prime numbers. Solutions are included.

Master prime numbers, factor pairs, and divisibility rules with this comprehensive, no-prep maths worksheet! Perfect for Key Stage 2 and Key Stage 3 (KS2/KS3) students in Years 5, 6, and 7 discovering the patterns of prime and composite numbers through structured practice and conceptual true/false reasoning. Full teacher solutions are included!

Are your students falling into the trap of thinking all odd numbers are prime? Help them bust common maths misconceptions and master number properties with this Identifying Prime Numbers Worksheet!
This resource goes far beyond basic rote memorization. It systematically guides upper primary and early secondary school students to explore factors, analyze digit sums, and discover critical divisibility rules on their own.

What’s Included:
• Page 1: Even & Prime Exploration: Students list factors for mixed numbers up to 63 to discover why 2 is uniquely special.
• Page 2: The Pattern of 5: A targeted look at numbers ending in 5 to prove why higher numbers like 25, 35, and 105 are composite.
• Page 3: Digit Sums & Divisibility: An investigative section guiding students to add digits together and discover the rule for divisibility by 3.
• Page 4: 6 Critical Misconception True or False Statements: High-level conceptual questions to challenge student understanding (e.g., “The smallest prime number is one”).
• Complete Teacher Solutions Key: A thorough, 3-page mark scheme showing all factor pairings and detailed proofs—perfect for quick marking, self-assessment, or leaving for supply teacher cover lessons!

Skills Covered:
• Differentiating between prime and composite numbers.
• Listing all factor pairs for numbers up to 105.
• Identifying and applying basic divisibility rules.
• Calculating digit sums to check for multiples of 3.
• Defending mathematical statements with true or false reasoning.

Classroom Versatility:
• Guided Maths Lessons: Work through the investigative sections together as a class starter.
• Independent Classwork: Perfect for quiet practice after introducing factors.
• Maths Rotations & Extension Tasks: Ideal for small group collaboration and peer discussion.
• Cover Plans: Clear, scaffolded layout makes it easy to assign when you are away.

Curriculum Standards Alignment:
• UK National Curriculum (Key Stage 2 & 3 Mathematics): Aligned with objectives to identify multiples and factors, including finding all factor pairs of a number, knowing and using the vocabulary of prime numbers, prime factors, and composite numbers.

Get this resource as part of a bundle and save up to 46%

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

Bundle

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

ÂŁ5.90
Bundle

Prime Numbers-Prime Factorisation Bundle

A collection of three worksheets on the following topics: * Identifying prime numbers. The exercises require to find the factors of given numbers, identify the numbers that are prime and make general conclusions about prime numbers. * Prime numbers and prime factorisation. The exercises require to decide whether dome given numbers are prime or not and reach some conclusions, find the factors of a number given its prime factoristaion and find the common factors of two numbers given their prime factorisations. * 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. Detailed solutions are included.

ÂŁ2.90

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