Grade 10 · Numbers · 65 pages · PDF

Multiples and Factors

Clear, exam-focused notes on factors, multiples, primes, prime factorisation, HCF and LCM, with fully worked examples.

A complete 18-page IGCSE guide to multiples and factors. It covers finding factors and multiples, prime and composite numbers, testing whether a number is prime, and writing numbers as a product of prime factors using factor trees and division. It then teaches HCF and LCM by both listing and prime factorisation, and the link HCF × LCM = a × b. The final section applies these to real-world sharing, timing and tiling problems. Every method comes with fully worked examples and common mistakes to avoid. It ends with a summary, a keyword guide for choosing HCF or LCM, and exam tips.

What's in the pack

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• Main Notes · 19 pages

  Main Notes

  The full notes: one idea per page, a worked example beside every rule.

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• Cheatsheet · 1 page

  Cheatsheet

  The whole topic on a page or two, for the night before.

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  FreeAdd for free

• Worksheet · 25 pages

  Worksheet

  Practice questions in the order the notes teach them.

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• Solutions · 20 pages

  Solutions

  Every worksheet question worked in full.

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Topics covered

• Factors
• Multiples and common multiples
• Prime and composite numbers
• Testing whether a number is prime
• Prime factorisation and factor trees
• Index form
• Highest Common Factor (HCF)
• Lowest Common Multiple (LCM)
• The HCF × LCM relationship
• HCF sharing problems
• LCM timing and tiling problems
• Summary and exam tips

Format

Print-ready PDF

Items

4

Delivery

By email