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This topic covers factors, multiples and prime numbers — finding factor pairs, listing multiples and identifying primes — the basis for HCF, LCM and prime factorisation. It's examined right across GCSE and iGCSE Maths. Learn it free on eClassroom through guided worked examples and instantly-marked exam-style questions.
How you do it
Break the number into prime factors by dividing repeatedly by the smallest prime that goes in, drawing a factor tree as you go. Write the answer in index form. Factors divide into the number; multiples are what you get multiplying it up.
Before you start
Everything here rests on times tables and division. The same ideas return in LCM and HCF, and simplifying fractions. It is Foundation and Higher tier material at GCSE and iGCSE.
What you learn
Factors, multiples and primes are the building blocks of Number — and the foundation for LCM, HCF and fractions later on. The course works through factors and multiples, prime numbers and common factors and multiples. Every section has instant-feedback practice questions matched to Edexcel iGCSE 4MA1 and the other major GCSE boards, and the course finishes with full exam-style questions you mark yourself.
Related Topics
Primes, Factors & Multiples is part of the Number strand of our free GCSE maths courses, studied in Foundation tier. You work through 3 concepts and 2 worked examples, testing yourself at 3 points. Nearby topics in the same strand are Primes & LCM / HCF, Primes & Proof, Product Rule for Counting, Reverse Percentages and Rounding & Estimation. Endless extra practice on this strand is available on the Number revision engine, which generates a fresh question each time.
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