Multiplication and Division Fact Families
Using related facts to solve multiplication and division problems
Multiplication and Division Fact Families
Using related facts to solve multiplication and division problems
Math - Grade 4-5
- 1
The numbers 4, 6, and 24 belong to one fact family. Write all four related multiplication and division facts.
Use the two smaller numbers to multiply and the largest number to divide.
The four related facts are 4 x 6 = 24, 6 x 4 = 24, 24 divided by 6 = 4, and 24 divided by 4 = 6. - 2
The numbers 7, 8, and 56 belong to one fact family. Write all four related facts.
The four related facts are 7 x 8 = 56, 8 x 7 = 56, 56 divided by 8 = 7, and 56 divided by 7 = 8. - 3
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 = __.
Division undoes multiplication.
The missing numbers are 9 and 5. The completed division facts are 45 divided by 5 = 9 and 45 divided by 9 = 5. - 4
Complete the fact family for 3, 12, and 36: __ x __ = 36, __ x __ = 36, 36 divided by 3 = __, 36 divided by 12 = __.
The completed fact family is 3 x 12 = 36, 12 x 3 = 36, 36 divided by 3 = 12, and 36 divided by 12 = 3. - 5
Find the missing number: 8 x 7 = 56, so 56 divided by 8 = __.
Think about which factor is missing.
The missing number is 7 because division uses the same fact family as multiplication. - 6
Find the missing number: 6 x 9 = 54, so 54 divided by 9 = __.
The missing number is 6 because 6 and 9 are factors of 54 in this fact family. - 7
Write the fact family for the numbers 2, 11, and 22.
There should be two multiplication facts and two division facts.
The fact family is 2 x 11 = 22, 11 x 2 = 22, 22 divided by 11 = 2, and 22 divided by 2 = 11. - 8
Write the fact family for the numbers 10, 4, and 40.
The fact family is 10 x 4 = 40, 4 x 10 = 40, 40 divided by 10 = 4, and 40 divided by 4 = 10. - 9
A fact family has the multiplication fact 9 x 3 = 27. Write the other three facts in the family.
Reverse the factors for the second multiplication fact.
The other three facts are 3 x 9 = 27, 27 divided by 9 = 3, and 27 divided by 3 = 9. - 10
A fact family has the division fact 42 divided by 6 = 7. Write the other three facts in the family.
The other three facts are 42 divided by 7 = 6, 6 x 7 = 42, and 7 x 6 = 42. - 11
Choose the correct missing number: __ x 8 = 64 and 64 divided by 8 = __.
This fact family uses the same factor twice.
The missing number is 8 in both places. The completed facts are 8 x 8 = 64 and 64 divided by 8 = 8. - 12
Choose the correct missing number: 12 x __ = 48 and 48 divided by 12 = __.
The missing number is 4 in both places. The completed facts are 12 x 4 = 48 and 48 divided by 12 = 4. - 13
Sam says that 5, 8, and 42 make a fact family. Explain whether Sam is correct.
Check whether the multiplication fact is true.
Sam is not correct because 5 x 8 = 40, not 42. Numbers in a fact family must make true multiplication and division equations. - 14
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.
These facts belong to the same fact family because they all use the same three numbers, 4, 7, and 28, in related multiplication and division equations. - 15
Write a fact family that uses the numbers 6, 8, and 48.
Start by multiplying the two smaller numbers.
One correct fact family is 6 x 8 = 48, 8 x 6 = 48, 48 divided by 6 = 8, and 48 divided by 8 = 6.