Primes, HCF and LCM

Chapter 1 Study Notes

Primes, HCF and LCM

This chapter covers how to classify whole numbers as prime or composite using trial division, express a composite number as a product of its prime factors using index notation, find the square root of a perfect square and the cube root of a perfect cube using prime factorisation.

Secondary 111 sectionsO-Level Mathematics (4052)

Learning Outcomes

  • Classify whole numbers as prime or composite using trial division
  • Express a composite number as a product of its prime factors using index notation
  • Find the square root of a perfect square and the cube root of a perfect cube using prime factorisation
  • Find the smallest value of kk that makes a given expression a perfect square or perfect cube
  • Find the highest common factor (HCF) of two or more numbers using prime factorisation
  • Find the lowest common multiple (LCM) of two or more numbers using prime factorisation
  • Apply HCF and LCM to solve real-life problems

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11 sections, beginning with Why Primes Matter.

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Questions on Primes, HCF and LCM, marked as you go, with the working shown.

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