Chapter 2

Factors and Multiples

Factors, multiples, HCF, LCM and prime numbers — with an interactive exercise.

A factor divides a number exactly; a multiple is what you get by multiplying.

The HCF (highest common factor) is the largest factor two numbers share: HCF of 12 and 18 is 6. The LCM (lowest common multiple) is the smallest multiple they share: LCM of 4 and 6 is 12.

A prime number has exactly two factors — 1 and itself: 2, 3, 5, 7, 11, …

Remember

  • HCF = biggest shared factor · LCM = smallest shared multiple.
  • A prime number has exactly two factors.

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