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Factors
Prime Factor Tree
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 the prime factors for 80

2 x 2 x 2 x 2 x 5

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

Today, both the wrestling team and basketball teams were scheduled to have practice in the gym. Whoops! The wrestling team practices in the gym every 4 days and the basketball team practices in the gym every 5 days. In how many days will they both be practicing in the gym on the same day?

In 20 days

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

List the prime factors for36

2 x 2 x 3 x x

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

Barnes and Noble needs to ship 14 mystery books, 12 science-fiction books, and 8 historical-fiction books. The store can only pack one genre of book in each box, and they must pack the same number of books in each box. What is the greatest number of books Barnes and Noble can pack in each box?

Barnes and Noble can put two books in each box.

300
List all of the factors of 42.
1, 2, 3, 6, 7, 14, 21, 42
300

List the prime factors for72

2 x 2 x 2 x 3 x 3

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

Beginning at 9:00 AM., tours of the Colosseum and the Vatican begin at a tour agency in Italy. Tours for the Colosseum leave every 8 minutes. Tours for the Vatican leave every 10 minutes. How often do the tours leave at the same time?

Every 40 minutes

400

List all of the factors of 52.

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

400

List the prime factors for 88

2 x 2 x 2 x 11

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 of the common factors of 24 and 36.
1, 2, 3, 4, 6, 12
500

List the prime factors for 166

2 x 83

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