Show:
Factoring Expressions
Prime Factorization
Greatest Common Factor
Least Common Multiple
Word Problems
100

Rewrite the following into equivalent expressions using the GCF of both numbers and the distributive property. 

12 + 21

3(4+7)

100

Write the prime factorization for 20.

22 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

Timer 1 is set to beep every 3 hours. Timer 2 is set to beep every 5 hours. If they started at 6:00 AM, at what time would they beep at the same time? ?

9:00 PM

200

Rewrite the following into equivalent expressions using the GCF of both numbers and the distributive property. 

56 + 72

8(7+9)

200

Write the prime factorization for 15.

3 x 5

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

Rewrite the following into equivalent expressions using the GCF of both numbers and the distributive property. 

16 + 28

4(4+7)

300

Write the prime factorization for 16.

24

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

Rewrite the following into equivalent expressions using the GCF of both numbers and the distributive property. 

10 + 75

5(2+15)

400

Write the prime factorization for 45.

32 x 5

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

Sasha cut 15 pink roses and 18 white roses from the bushes in her back yard. If she wantes to make some identical flower arrangements with no flowers left over, what is the greatest number of arrangements Sasha can make?

90

500

Rewrite the following into equivalent expressions using the GCF of both numbers and the distributive property. 

12 + 18

6(2+3)

500

Write the prime factorization for 100.

22 x 52

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

Consider the numbers 8 and 14. What is the product of the greatest common factor and the least common multiple for the numbers?

2 X 42 = 84