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Factors
Multiples
Greatest Common Factor
Least Common Multiple
Word Problems
100
List all of the factors of 32.
1, 2, 4, 8, 16, and 32
100
List 3 multiples of 8 that are less than 50.
8, 16, 24, 32, 40, 48
100
What is the greatest common factor of 12 and 15
3
100
What is the least common multiple of 3 and 7?
21
100

Timer 1 is set to beep every 8 minutes. Timer 2 is set to beep every 6 minutes. How many times will they beep at the same time in 30 minutes?

1

200
List all of the common factors of 12 and 20.
1, 2, and 4
200
List 3 common multiples of 2 and 6.
6, 12, 18, 24, 30, 36, 42, 48, etc.
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

Coach Hodge brings snacks for the basketball team every fifth game. Every third game is a home game. When will be the first time that he brings snacks to a home game?

15th game

300
List all of the factors of 42.
1, 2, 3, 6, 7, 14, 21, 42
300
List all the common multiples of 6 and 8 that are less than 50.
24 and 48
300
What is the greatest factor of 16 and 36?
4
300
What is the least common multiple of 2, 3, and 5?
30
300

Miss East 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?

12

400

List all of the factors of 52.

1, 2, 4, 13, 26, and 52

400
List 4 multiples of 7 greater than 10 but less than 50.
14, 21, 28, 35, 42, 49
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 at the same time again?

48 minutes

500
List all of the common factors of 24 and 36.
1, 2, 3, 4, 6, 12
500
List all the common multiples of 12 and 18 that are less than 75.
36 and 72
500

Using Distributive Property, factor out the GCF and rewrite:

90 + 60

30(3 +2)

500

What is the least common multiple of 3 and 108?

108

500

Mr. Pulliam 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