Factors and Multiples Answers

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1
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Which only lists multiples of 16?

A
1, 2, 4, 8, 16
B
16, 24, 32, 40
C
16, 32, 48, 64
D
1, 2, 4, 8, 12, 16
2
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What is the greatest common factor of 20 and 36?

A
2
B
4
C
5
D
6
3

The prime factorizations of 16 and 24 are shown below.Prime factorization of 16: 2, 2, 2, 2Prime factorization of 24: 2, 2, 2, 3Using the prime factorizations, what is the greatest common factor of 16 and 24?

A
2
B
2 ´ 2
C
2 ´ 2 ´ 2
D
2 ´ 2 ´ 2 ´ 2 ´ 3
4

What is the greatest common factor of 9 and 12?

A
3
B
9
C
36
D
108
5

Which pair of numbers is relatively prime?

A
7 and 21
B
4 and 15
C
6 and 9
D
9 and 27
6

The first five multiples for the numbers 4 and 6 are shown below.Multiples of 4: 4, 8, 12, 16, 20, . . . Multiples of 6: 6, 12, 18, 24, 30, . . . What is the least common multiple of 4 and 6?

A
2
B
4
C
12
D
24
7

Micah found the least common multiple of 8 and 12. His work is shown below. Multiples of 8: 8, 12, 16, 20, 24, 28, . . .Multiples of 12: 12, 24, 36, 48, 60, . . .The least common multiple is 12.What is Micah’s error?

A
Micah listed some values that were not multiples.
B
Micah listed factors of each number instead of multiples.
C
Micah should have multiplied 8 and 12 to find the least common multiple.
D
Micah selected a multiple that is not the least of the common multiples.
8

What is the greatest common factor of 3 and 6?

A
3
B
6
C
18
D
36
9

Craig is training for a race. He bikes every 2 days and swims every 3 days. If he biked and swam today, how many days will pass before he bikes and swims on the same day again, the least common multiple of the numbers of days?Multiples of 2: 2, 4, 6, 8, 10, 12, . . .Multiples of 3: 3, 6, 9, 12, 15, 18, . . .

A
2 days
B
3 days
C
6 days
D
12 days
10

On James’s MP3 player, he has 12 sad songs and 40 upbeat songs that he wants to put into playlists. He wants to have the same number of sad songs and upbeat songs in each playlist. What is the maximum number of playlists that he can create?

A
2 playlists
B
3 playlists
C
4 playlists
D
10 playlists

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