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 25.

8, 16, 24,

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

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 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

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?

12

400
List all of the factors of 52.
1, 2, 4, 13, 26, and 52
400

List 4 multiples of 7 greater than 23 but less than 50.

  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 18 minutes to run one lap and it takes Wiggly 30 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?

180 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
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 looks exactly like every other container. How many plastic containers does he need?

12 plastic containers

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