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

3 x 3 x 3 x 3 x 3 as a power.

3 ^ 5

100

Find the prime factorization of 21.

(show your ladder method work)

21 = 3 x 7

100

What is the greatest common factor of 12 and 15

(show your ladder method work)

3

100

What is the least common multiple of 3 and 7?

(show your lists of multiples)

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?

(show your lists of multiples)

1

200

Write the power as repeated multiplication. 7^4

7 x 7 x 7 x 7

200

Find the prime factorization of 18.

(show your ladder method work)

18 = 2 x 3 x 3

200

What is the greatest common factor of 24 and 20?

(show your ladder method work)

4

200

What is the least common multiple of 4 and 9?

(show your lists of multiples)

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?

(show your lists of multiples for 5 and 3)

15th game

300

Evaluate the power. 2 ^ 5

32

300

Find the prime factorization of 130.

(show your ladder method work)

130 = 2 x 5 x 13

300

What is the greatest factor of 16 and 36?

(show your ladder method work)

4

300

What is the least common multiple of 2, 3, and 5?

(show your lists of multiples)

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?

(show your ladder method work)

6

400

Evaluate the problem.

(2 + 6^2) - 10 +3

31

400

Find the prime factorization of 90.

(show your ladder method work)

90 = 2 x 3 x 3 x 5

400

What is the great common factor of 50 and 35?

(show your ladder method work)

5

400

What is the least common multiple of 20 and 12?

(show your lists of multiples)

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?

(show your lists of multiples for all three numbers)

48 minutes

500

Explain the difference between a base, an exponent, and a power.

A base is the number being multiplied (larger number).

An exponent is the amount of times the base is being repeated (smaller number).

A power is the base and the exponent combined.

500

Find the prime factorization of 84.

(show your ladder method work)

84 = 2 x 2 x 3 x 7

500

What is the greatest common factor of 64 and 80?

(show your ladder method work)

16

500

What is the least common multiple of 21 and 24?

(show your lists of multiples)

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?

(show your ladder method work)

12 plastic containers

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