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Math Grade 4-5

Multiplication and Division Fact Families

Using related facts to solve multiplication and division problems

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Practice using multiplication and division fact families to write related equations and solve for missing numbers.

Read each problem carefully. Use fact families to write related multiplication and division equations. Show your work in the space provided.

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Using related facts to solve multiplication and division problems

Math - Grade 4-5

Instructions: Read each problem carefully. Use fact families to write related multiplication and division equations. Show your work in the space provided.
  1. 1
    An array of 24 counters arranged in 4 rows and 6 columns.

    The numbers 4, 6, and 24 belong to one fact family. Write all four related multiplication and division facts.

  2. 2
    An array of 56 counters arranged in 7 rows and 8 columns.

    The numbers 7, 8, and 56 belong to one fact family. Write all four related facts.

  3. 3
    An array of 45 counters arranged in 5 rows and 9 columns.

    Complete the fact family for 5, 9, and 45: 5 x 9 = 45, 9 x 5 = 45, 45 divided by 5 = __, 45 divided by 9 = __.

  4. 4
    An array of 36 counters arranged in 3 rows and 12 columns.

    Complete the fact family for 3, 12, and 36: __ x __ = 36, __ x __ = 36, 36 divided by 3 = __, 36 divided by 12 = __.

  5. 5
    An array of 56 counters arranged in 8 rows and 7 columns.

    Find the missing number: 8 x 7 = 56, so 56 divided by 8 = __.

  6. 6
    An array of 54 counters arranged in 6 rows and 9 columns.

    Find the missing number: 6 x 9 = 54, so 54 divided by 9 = __.

  7. 7
    An array of 22 counters arranged in 2 rows and 11 columns.

    Write the fact family for the numbers 2, 11, and 22.

  8. 8
    An array of 40 counters arranged in 10 rows and 4 columns.

    Write the fact family for the numbers 10, 4, and 40.

  9. 9
    An array of 27 counters arranged in 9 rows and 3 columns.

    A fact family has the multiplication fact 9 x 3 = 27. Write the other three facts in the family.

  10. 10
    Forty-two counters shown as 6 equal groups of 7.

    A fact family has the division fact 42 divided by 6 = 7. Write the other three facts in the family.

  11. 11
    A square array of 64 counters arranged in 8 rows and 8 columns.

    Choose the correct missing number: __ x 8 = 64 and 64 divided by 8 = __.

  12. 12
    An array of 48 counters arranged in 12 rows and 4 columns.

    Choose the correct missing number: 12 x __ = 48 and 48 divided by 12 = __.

  13. 13
    A 5 by 8 array of 40 counters with 2 extra counters set apart.

    Sam says that 5, 8, and 42 make a fact family. Explain whether Sam is correct.

  14. 14
    An array of 28 counters arranged in 4 rows and 7 columns.

    Mia wrote these facts: 4 x 7 = 28, 7 x 4 = 28, 28 divided by 4 = 7, and 28 divided by 7 = 4. Explain why these belong to the same fact family.

  15. 15
    An array of 48 counters arranged in 6 rows and 8 columns.

    Write a fact family that uses the numbers 6, 8, and 48.

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