Factors
Multiples
Greatest Common Factor
Least Common Multiple
Word Problems
100

Define or explain what a factor is.

Factors are numbers you multiply to make other numbers.  For example the factors of 15 are 1x15, 3x5.

100

Define or explain what a multiple is

Multiples are numbers you make by multiplying the numbers they are asking about.  For example some multiples of five are 5, 10, 15, 20, 25, 30

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

You are filling piñatas for your friend's birthday party. The list shows the gifts you are putting into the piñatas. You want identical groups of gifts in each piñata with no gifts left over. What is the greatest number of piñatas you can make?

  • 20 kazoos
  • 30 mints

10 piñatas 

200

List all of the factors of 18

1, 2, 3, 6, 9, 18

200

List the first 5 multiples of 3

3, 6, 9, 12, 15

200
What is the greatest common factor of 24 and 20?
4
200

What is the least common multiple of 6 and 9?

18

200

You hang two strands of decorative lights.

Strand 1: changes color every 14 seconds

Strand 2: changes color every 18 seconds

Both strands just changed color. After how many seconds will the strands change color at the same time again?

126 seconds

300

List all of the factors of 48.

1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.

300

List the first 5 multiples of 13

13, 26, 39, 52, 65

300

What is the greatest factor of 24 and 54

6

300

What is the least common multiple of 9 and 24?

72

300

You are filling bags with cookies to give to your friends. You want identical groups of cookies in each bag with no cookies left over. What is the greatest number of bags you can make?

  • 12 chocolate chip cookies
  • 18 peanut butter cookies
  • 42 oatmeal cookies

6 bags 

400

List all of the factors of 175.

 1, 5, 7, 25, 35 and 175

400

List the first 5 multiples of 16

16, 32, 48, 64, 80

400

What is the great common factor of 52 and 65?

13

400

What is the least common multiple of 26 and 39?

78

400

A geyser erupts every fourth day. Another geyser erupts every sixth day. Today both geysers erupted. In how many days will both geysers erupt on the same day again for the first time?

12 days 

500

List all of the factors of 256

1, 2, 4, 8, 16, 32, 64, 128 and 256

500

List the first 5 multiples of 28 

28, 56, 84, 112, 140

500

What is the greatest common factor of 16, 32 and 72

8

500

What is the least common multiple of 6, 12, and 14?

84

500

A traffic light near Major League Roast Beef changes every 35 seconds. Another traffic light near Pub 99 changes every 50 seconds. Both lights just changed. After how many seconds will both lights change at the same time again?

350 seconds 

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