Factor Pairs
Prime Factorization
LCM
GCF
Mixed Review
100

16

1x16

2x8

4x4

100

18

2 x 32

100

8 and 14

56

100

8 and 10

2

100

3/5 + 2/3

1 4/15

200

34

1x34

2x17

200

15

3x5

200

18 and 27

54

200

18 and 42

6

200

You are creating identical picnic baskets using 30 sandwiches and 42 cookies. What is the greatest number of baskets that you can fill using all of the food?

You can fill 6 baskets

300

56

1x56

2x28

4x14

7x8

300
28

22 x 7

300

18 and 30

90

300

36 and 68

2

300

You have piano lessons every fourth day and guitar lessons every sixth day. Today you have both lessons. In how many days will you have both lessons on the same day again?

You have both lessons on the same day in 12 days.

400

48

1x48

2x24

3x16

4x12

6x8

400

60

22 x 3 x 5

400

3, 6, and 16

48

400

24, 44, and 52

4

400

You have 52 inches of yellow ribbon and 64 inches of red ribbon. You want to cut the ribbons into pieces of equal length with no leftovers. What is the greatest length of the pieces that you can make?

The pieces can be 4 inches as most.

500

84

1x84

2x42

3x18

4x21

6x14

7x12

500

72

23 x 32

500

6, 24, and 32

96

500

68, 76, and 92

4

500

Hamburgers come in packs of 20 while buns come in packs of 12. What is the least number of packs you should buy in order to have the same numbers of hamburgers and buns?

You will need 3 packs of hamburgers and 5 packs of buns.

(LCM = 60 -> 60/20 and 60/12)

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