Show:
Distribute In
Factor Out
Greatest Common Factor
Least Common Multiple
Prime Factorization
100

3(2x - 2)

6x - 6

100

18x + 6

6(3x + 1)

100

GCF of 12 and 15

3

100

LCM of 3 and 7?

21

100
What is the P.F. of 32

2 x 2 x 2 x 2 x 2 or 25

200

5(8a + c)

40a + 5c

200

28 + 14x 

14(2 + 1x)

200

GCF of 24 and 20?

4

200

LCM of 4 and 9?

36

200

What is the P.F. of 42

2 x 3 x 7 

300

8(9d - 11) 

72d - 88 

300

24w + 48c

24 (1w + 2c)

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?

12 necklaces

300

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?

The 15th game

300

What is the P.F. of 84

2 x 2 x 3 x 7 or 22 x 3 x 7

400

4(p + 5r - w)

4p + 20r - 4w

400

40a + 64 

8 (5a + 8)

400

128 boys and 144 girls in school. What is the greatest number of groups that will have a equal number of boys and girls in each group?

16 groups 

400
Nicole meets her friend Jackie every 8 days. She meets her friend Kelly every 6 days. One day, she meets both Jackie and Kelly. In how many days will she next meet Jackie and Kelly?
24 days
400

What is the P.F. of 162

2 x 3 x 3 x 3 x 3 or 2 x 34

500

12(4q + 9n - 12)

48q + 108n - 144

500

75x + 30 

15(5x + 2)

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. How many plastic containers does he need?

12 plastic containers

500

On a game show, every 5th audience member receives a free bag of candy, every 8th audience member receives a free CD, and every 20th audience member receives a free shirt. What audience member will be the first one to receive all three gifts?

The 40th audience member will receive all three gifts.

500

What is the P.F. of 210 

2 x 3 x 5 x 7