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Factors/Multiples
Distributive Property
Greatest Common Factor
Least Common Multiple
Word Problems
100
List all of the factors of 32.
1, 2, 4, 8, 16, and 32
100

Re-write by factoring out the GCF: 

15 + 20

5(3+4) 

100

what is the greatest common factor of 56=55 5555

 noting 

100
What is the least common multiple of 3 and 7?
21
100

Jill is buying AA batteries and D batteries. The store sells AA batteries in packs of 6 and D batteries in packs of 9. If Jill wishes to buy the same number of AA and D batteries, what is the smallest number of each battery type that she can buy?

18 batteries

200
List all of the common factors of 12 and 20.
1, 2, and 4
200

Re-write by factoring out the GCF:  

12 + 24

12 ( 1+2) 

200
What is the greatest common factor of 24 and 20?
4
200
What is the least common multiple of 4 and 9?
36
200
You bring snacks for your basketball team every fifth game. Every third game is a home game. When will be the first time that you bring snacks to a home game?
15th game
300
List all the common multiples of 6 and 8 that are less than 50.
24 and 48
300

Re-write by factoring out the GCF: 

33 + 77

11(3+7) 

300
What is the greatest factor of 16 and 36?
4
300

What is the least common multiple of 6 and 9?

18

300
Sarah is making bead necklaces. She has 60 blue beads and 72 green beads. What is the greatest number of identical necklaces she can make if she wants to use all the beads?
6
400
List all of the factors of 52.
1, 2, 4, 13, 26, and 52
400

Re-write by factoring out the GCF: 

21 + 49

7 (3+7)

400
What is the great common factor of 50, 35, and 15?
5
400
What is the least common multiple of 20 and 12?
60
400
Three pigs entered a race around a track. Piggly takes 12 minutes to run one lap. Piglet takes 6 minutes to run one lap and it takes Wiggly 16 minutes to run one lap. If all three pigs begin the race at the same time, how many minutes will it take for all three pigs to be at the starting point again?
48 minutes
500
List all the common multiples of 12 and 18 that are less than 75.
36 and 72
500

Re-Write by factoring out the GCF: 

48 + 72

24 (2+3) 

500
What is the greatest common factor of 64 and 80?
16
500
What is the least common multiple of 21 and 24?
168
500
Johnny baked 36 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers for his teacher friends at school. He wants to divide the cookies into identical containers so that each container has the same number of each kind of cookie. If he wants each container to have the greatest number of cookies possible, how many plastic containers does he need?
12 plastic containers