Factors and Multiples Pre-Test and Quiz

What are all the factors of 54?

1, 2, 3, 6, 9, 18, 27, 54

Mr. Rodriguez is packing bags of snacks for his children's lunchboxes. If he has 20 blueberries and 30 grapes, what is the maximum number of bags of snacks that he can pack so that each bag has the same number of blueberries and grapes?

10 bags

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?

12

What is the least common multiple of 4 and 12?

12

Fresh produce is delivered to a restaurant every 4 days. Every 6 days, the restaurant receives a delivery of dried and canned goods. If the produce and dried and canned goods were delivered today, how many days will pass until they are all delivered to the restaurant on the same day again?

12 days

Which only lists multiples of 16?

16, 32, 48, 64

Which only lists multiples of 18?

18, 36, 54, 72

What is the greatest common factor of 6 and 8?

2

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?

2 ´ 2 ´ 2

What is the least common multiple of 4 and 10?

20

What is the greatest common factor of 3 and 6?

3

What is the greatest common factor of 9 and 12?

3

What is the greatest common factor of 20 and 36?

4

Which pair of numbers is relatively prime?

4 and 15

The manager of a snack bar buys bottled water in packs of 35 and candy bars in packs of 20. Then, she sells the items individually. Yesterday, she bought the same number of water bottles as candy bars to sell at the snack bar. If she bought the lowest number of items possible, how many packs of each item did she buy?

4 packs of bottled water and 7 packs of candy bars

Miki has 104 nickels and 88 dimes. She wants to divide her coins into groups where each group has the same number of nickels and the same number of dimes. What is the largest number of groups she can have?

8

Maria found the least common multiple of 6 and 15. Her work is shown below.Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, . . .Multiples of 15: 15, 30, 45, 60, . . .The least common multiple is 60.What is Maria's error?

Maria selected a multiple that is not the least of the common multiples.

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?

Micah listed some values that were not multiples.