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Factors

100

What is the definition of a factor?

It is a number that is multiplied with another number to make a product.

200

List all the factors of 8.

1 2 4 8

300

List all the factors of 30.

1 2 3 5 6 10 15 30

400

List all the factors of 64.

1 2 4 8 16 32 64

500

List all the factors of 120.

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120

Multiples

100

What is the definition of a multiple?

The product of a number and any non-zero whole number OR Skip counting by a number

200

List the first 5 multiples of 2.

2 4 6 8 10

300

List the first five multiples of 5.

5 10 15 20 25

400

List the first five multiples of 12

12 24 36 48 60

500

List the first five multiples of 19

19 38 57 76 95

GCF

100

What is the definition of the greatest common factor (GCF)?

It is the largest factor that two or more numbers share.

200

Find the GCF of 20 and 24

4

300

Find the GCF of 40 and 80

40

400

Find the GCF of 120 and 150

30

500

Find the GCF of 68 and 85

17

LCM

100

What is the definition of the least common multiple (LCM)?

It is the smallest multiple that two or more numbers share.

200

Find the LCM of 8 and 12

24

300

Find the LCM of 9 and 15

45

400

Find the LCM of 21 and 30

210

500

Find the LCM of 15, 16, and 17

4,080

Real World

100

Mr. R wants to split candy into equal groups with no leftovers. If he has 8 jolly ranchers, 20 pieces of gum, and 48 Hershey bars, what is the largest number of groups he can make?

4 groups

200

Mr. R walks a mile in 15 minutes and his wife takes 20 minutes. If they start at the same time on a circular path, how many minutes will it be until they meet up again?

60 minutes

300

Mr. R is buying pencils and pens. He wants to have the same amount of each. Pencils come in packs of 12 and pens come in packs of 9. What is the smallest number of packs of each he would have to buy to have no leftovers?

3 packs of pencils, 4 packs of pens

400

Mr. R wants to arrange his medals from races into groups with an equal amount of each type of medal in each group. He has 24 5k medals, 12 triathlon medals, and 6 half marathon medals. If he makes the largest number of groups possible, how many medals of each will be in a group?

4 5k medals, 2 triathlon medals, 1 half marathon medal

500

Explain the difference between GCF and LCM real world problems.

GCF problems deal with grouping or equally distributing items. LCM problems deal with events happening again at the same time or getting items without leftovers.