Exponents
Prime Factorization
Greatest Common Factor
Least Common Multiple
Word Problems
100

Rewrite 92 in expanded form.

9x9

100

The prime factorization of 78

2 x 3 x 13

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

Write 6x6x6x6x6 in exponent form.

65

200

The prime factorization of 144

2 x 2 x 2 x 2 x 3 x 3

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

Find 33

27

300

The prime factorization of 96

2 x 2 x 2 x 2 x 2 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
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

Write 3x3x3x2x2x4x4x4x4 in exponent form.

33x22x44

400

The prime factorization 95

5 X 19

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

Solve for 32x23

72

500

The prime factorization of 156

2 x 2 x 3 x 13

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
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