Factors, multiples, HCF and LCM
What factors, multiples, hcf and lcm means
You learn how to find numbers that divide another number exactly, and how to spot numbers that come up in a pattern of repeated counting. This helps you solve sharing and grouping problems, compare number sets, and prepare for more advanced number work.
What you will practise
- List all the factors of a whole number
- Find common factors shared by two numbers
- Work out the highest common factor
- List multiples of a number in order
- Find the lowest common multiple
Before you start
You should be comfortable with multiplication tables and basic division facts. You also need to know how to count in twos, threes, fours, fives and other times tables.
Not confident yet? Work through Decimals and place value first.
Worked example
One question from this skill's own question bank, shown with its full working.
Which of these is a factor of 24?
- 5
- 6
- 7
- 9
Working: 24 ÷ 6 = 4 exactly, so 6 is a factor of 24.
Common mistakes to avoid
- Treating a multiple as a factor. Check whether the number divides exactly before you choose it.
- Missing some factors. Use pairs of numbers that multiply to the target number.
- Confusing HCF with LCM. HCF is the biggest shared factor, while LCM is the smallest shared multiple.
- Stopping too early when listing multiples. Continue until you find the first common one.
Curriculum and exam alignment
This topic usually appears in Upper Primary number work, often from Basic 4 to Basic 6, as part of whole-number skills. It supports school-based assessment and builds the number sense needed for BECE preparation.
Curriculum notes are a general guide to where this work normally sits. Always check the syllabus your school or examination body is currently using.
Related skills
Other Upper Primary Decimals & Factors skills in Maths, at the same point in the course.
Other Maths topics
Related study guides
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Exams that assess factors, multiples, hcf and lcm
Upper Primary work on this skill feeds directly into these exam papers. Each page lists the Maths topics that appear on it.
How this page was produced
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Practise factors, multiples, hcf and lcm
6 questions with a worked answer after every attempt, and a SmartScore that tracks how close you are to mastery.
