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10 printable sets · answer key on every set

Factors and Multiples Worksheets

  • CCSS 4.OA.B.4
  • 20 problems per set
  • Answer key included

What this skill is

Factors are numbers you can multiply to make another number. A number is a factor if it divides the other number with nothing left over.

When it comes up: Fourth grade, using the multiplication facts.

The mistake to watch for

Forgetting 1 and the number itself, or listing only the first pairs found.

How to help

Look for pairs: 1 × 12, 2 × 6, 3 × 4. Check each whole number up to the middle, and write each pair's partner too.

Next: Equivalent fractions, which use the same multiplication facts.

A worked example

List the factors of 18. Check each number from 1: 1 × 18, 2 × 9, 3 × 6. So the factors are 1, 2, 3, 6, 9 and 18. 4 and 5 do not divide 18 evenly.

Words to know

factor
A number you multiply. In 4 × 6 = 24, the factors are 4 and 6.
multiple
What you get when you multiply a number by 1, 2, 3 and so on. The multiples of 4 are 4, 8, 12 …
divide
To share a number into equal groups, or to find how many groups fit.
product
The answer you get when you multiply.
multiply
To add the same number again and again, in a faster way.

Practice

Answer each question.

Showing Set 1 · 20 problems

  1. Is 6 a factor of 38? (yes or no)
  2. List all the factors of 20.
  3. Is 3 a factor of 21? (yes or no)
  4. Is 2 a factor of 42? (yes or no)
  5. Is 8 a factor of 42? (yes or no)
  6. Is 4 a factor of 49? (yes or no)
  7. Is 5 a factor of 56? (yes or no)
  8. List all the factors of 40.
  9. Is 5 a factor of 31? (yes or no)
  10. List all the factors of 14.
  11. List all the factors of 32.
  12. Is 6 a factor of 47? (yes or no)
  13. List all the factors of 16.
  14. Is 7 a factor of 14? (yes or no)
  15. List all the factors of 10.
  16. Is 4 a factor of 33? (yes or no)
  17. Is 2 a factor of 35? (yes or no)
  18. List all the factors of 15.
  19. Is 4 a factor of 24? (yes or no)
  20. Is 9 a factor of 10? (yes or no)

Download this set20 problems · answer key included PDF

Answer key
  1. no
  2. 1, 2, 4, 5, 10, 20
  3. yes
  4. yes
  5. no
  6. no
  7. no
  8. 1, 2, 4, 5, 8, 10, 20, 40
  9. no
  10. 1, 2, 7, 14
  11. 1, 2, 4, 8, 16, 32
  12. no
  13. 1, 2, 4, 8, 16
  14. yes
  15. 1, 2, 5, 10
  16. no
  17. no
  18. 1, 3, 5, 15
  19. yes
  20. no

All 10 sets

Each set is a different list of 20 problems with its own answer key. Use the buttons above to look at one on this page, or download any of them as a PDF.

How these sheets were made
  • Problems are generated for each set and checked against 4.OA.B.4 before the sheet is built — no duplicates, and every problem falls inside the standard's number range.

Common Core State Standards © 2010 National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.