Math Grade 4-5

Multiplication and Division Fact Families

Using related facts to solve multiplication and division problems

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Multiplication and Division Fact Families

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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