Grade 4

Factors and Multiples Worksheets

Is 3 a factor of 12? Finding factors and multiples — two sides of the same fact.

Free printable PDF · answer key included · new problems every time

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  1. 1.How many factors does 24 have? ___
  2. 2.How many factors does 9 have? ___
  3. 3.Is 18 a multiple of 4? ___
  4. 4.Is 12 a multiple of 4? ___
  5. 5.How many factors does 36 have? ___
  6. 6.Is 7 a factor of 20? ___
  7. 7.Is 63 a multiple of 9? ___
  8. 8.Is 41 a multiple of 7? ___
  9. 9.How many factors does 20 have? ___
  10. 10.Is 9 a factor of 18? ___
Show answers

1) 8 · 2) 3 · 3) No · 4) Yes · 5) 9 · 6) No · 7) Yes · 8) No · 9) 6 · 10) Yes

How to explain it to your child

A factor fits into a number with no remainder. A multiple is the result of a times-table fact — the same relationship, seen from the opposite direction.

  1. Finding a factor: check whether the division comes out exact. — 12 ÷ 3 = 4 with no remainder → 3 is a factor of 12
  2. Every number has 1 and itself as factors, but only finitely many in total. — Factors of 12: 1, 2, 3, 4, 6, 12
  3. Multiples are a number's times table — there are infinitely many of them. — Multiples of 3: 3, 6, 9, 12, 15, …

Example: Is 3 a factor of 12? 12 ÷ 3 = 4 with no remainder — yes. Is 12 a multiple of 3? 3 × 4 = 12 — yes, the same relationship from the other side.

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Factors and Multiples Worksheets, Grade 4 – Free PDF with Answers