INTRODUCTION
Help students build confidence with prime factorisation, highest common factor (HCF) and lowest common multiple (LCM). This Mathematics workbook takes learners from identifying prime and composite numbers through to using prime factors in index form to find the HCF and LCM of two or three numbers. Each section opens with a worked model example, so students can see the method before they practice on their own.

TOPICS AND SKILLS COVERED
• Identifying prime and composite numbers and writing a composite number as a product of two factors
• Expressing a positive integer as a product of its prime factors in index form, using a factor tree or repeated division
• Finding the HCF and LCM of two numbers by taking the lowest powers of common primes (HCF) and the highest powers of all primes (LCM)
• Finding the HCF and LCM of three numbers
• Solving multi-step context problems, including using HCF x LCM = a x b for two numbers
• Finding the smallest integer that makes a product a perfect square

CONTENTS OF THE RESOURCE
• 4 sections in a two-column layout
• One worked model example at the start of each section, showing the method step by step
• 40 practice questions in total, 10 per section
• A complete answer key with worked solutions

TEACHING AND LEARNING BENEFITS
• Clear instructional structure that moves from definitions to factorisation, then to HCF and LCM, then to applications
• Practice questions progress from intermediate application to more challenging exam-style questions
• Worked examples model the method and give students a reference point for independent practice
• Worked solutions in the answer key make checking and feedback quicker
• Ready to use, which saves preparation time

SUGGESTED CLASSROOM APPLICATIONS
• Independent practice in class
• Homework tasks, set by section
• Revision of prime factorisation, HCF and LCM
• Cover lessons or supported self-study
• Teacher-led modelling using the worked examples before students attempt the questions