JENECONKMaths Universe

Factors and Multiples

Ages 9–13

Difficulty adapts to you

Factors and Multiples

Factors are numbers that divide evenly into another number. Multiples are the results of multiplying a number by whole numbers.

Your goals

  • ✓You can find factors and multiples of numbers.
  • ✓You can use factor, multiple correctly.
  • ✓You can use multiplication to check a factor or multiple.

Words to know

factor:
A whole number that divides another whole number with no remainder.
multiple:
A result found by multiplying a number by a whole number.

Examples

  • 1Factors of 12: 1, 2, 3, 4, 6, 12
  • 2Multiples of 5: 5, 10, 15, 20, 25, 30, ...

Check these

  • • Do not swap the meanings of factor and multiple.
  • • Keep every number, symbol, label, and unit in its correct place.
  • • Show enough working to check how you reached your answer.

Helpful habits

  • • Read the whole question before choosing what to do.
  • • Show one clear step at a time and check each step.
  • • If you are stuck, draw a model, try smaller numbers, or revisit the example.

Now try your own

Create your own factors and multiples example, solve it, and explain how you checked it.

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Helpful Hints

“Use your fingers or objects to count — it helps!”