Prime Factorization
Factors and Multiples
Greatest Common Factor and Simplifying Fractions
Least Common Multiple
GCF & LCM Word Problems
100

What tool do we use to determine the prime factorization of a number?

A Factor Tree

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

What are the prime numbers that are less than 10?

2, 3, 5, and 7

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

What is the prime factorization of 42?

2 x 3 x 7

300

List all of the factors of 32.

1, 2, 4, 8, 16, and 32

300

Simplify the fraction 16/36.

4/9

Why?  The GCF is 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?
6
400

What is the prime factorization of 60?

2 x 2 x 3 x 5

or

22 x 3 x 5

400

List all the common factors of 12 and 20.

1, 2, and 4

400

Simplify the fraction 15/35?

3/7

Why?  The GCF is 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

What is the prime factorization of 150?

2 x 3 x 5 x 5

or

2 x 3 x 52

500
List all the common multiples of 12 and 18 that are less than 75.
36 and 72
500

Simplify the fraction 64/80

4/5

Why? The GCF is 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
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