Prime Factorization, GCF, LCM Quiz

What is the GCF of 15 and 36?

• 3

• 6

• 9

• 12

What is the LCM of 45 and 60?

• 120

• 180

• 240

• 300

What is the GCF of 28 and 64?

• 4

• 8

• 16

• 32

24 is the LCM for which of the following pair of numbers?

• 6 and 12

• 8 and 12

• 36 and 12

• 14 and 8

8 is the GCF for which of the following pair of numbers?

• 5 and 15

• 22 and 33

• 13 and 16

• 24 and 32

Peter is making snack bags for the soccer team. He wants each player to have an orange and a banana. Oranges come in bags of 20 and bananas come in bunches of 12. What is the smallest number of oranges and bananas Peter can buy to have the same number of each? How many bags of oranges? How many bunches of bananas?

• 60 of each:

  5 bags of oranges &

  3 bunches of bananas

• 12 of each:

  4 bags of oranges &

  8 bunches of bananas

• 60 of each:

  3 bags of oranges &

  5 bunches of bananas

• 4 of each:

  2 bags of oranges &

  2 bunches of bananas

Shelly wants to create snack bags for a trip she is going on. She has 6 granola bars and 10 pieces of dried fruit. If the snack bags should be identical without any food left over, what is the greatest number of snack bags Shelly can make?

How many granola bars and pieces of fruit will be in each bag?

• 30 snack bags:

  3 granola bars &

  5 pieses of fruit

• 60 snack bags:

  6 granola bars &

  10 pieces of fruit

• 2 snack bags:

  3 granola bars &

  5 pieces of fruit

• 16 snack bags:

  10 granola bars &

  6 pieces of fruit

What is the prime factorization of 54?

• 2² x 3² x 4

• 2³ x 3

• 2 x 3 x 9

• 2 x 3³

What does the following prime factorization equal?

2³ x 3 x 13

Mathematical Equivalence

ON

Jase wrote the prime factorization of 88. Which expressions could he have written?

Select ALL that apply.

• 2 x 2 x 2 x 11
• 2 x 44
• 8 x 11
• 2³ x 11