Module 2 Lesson 3

Multiple Choice

Which of the following is a reason why it is important to know how to find the greatest common factor (GCF) and least common multiple (LCM) of numbers?

• To solve problems involving sharing or grouping items equally

• To memorize large numbers

• To make numbers look bigger

• To avoid using multiplication

Fill in the Blanks

The product when a number is multiplied by another whole number is called a

.

Multiple Choice

Which of the following best describes the Greatest Common Factor (GCF)?

• The largest factor shared by two or more numbers

• The smallest positive number that is a multiple of two or more numbers

• The product when a number is multiplied by another whole number

• A whole number that divides another number exactly

Multiple Select

Which of the following are factors of 18?

• 2

• 4

• 6

• 9

Multiple Choice

What is the Least Common Multiple (LCM) of 6 and 15?

• 12

• 18

• 30

• 36

Math Response

page 33 #1

What is the side length of the largest square that can tile a 20-unit by 24-unit rectangle ?__units

Type answer here

Correct Answer: 4

Deg^°

Rad

Math Response

page 33 #2

What is the greatest common factor of 36 and 48?

Type answer here

Correct Answer: 12

Deg^°

Rad

Math Response

page 34 #3

What is the greatest common factor of 36 and 55?

Type answer here

Correct Answer: 1

Deg^°

Rad

Math Response

page 34 #4 a

Riley has 28 pens and 14 notepads. She uses all of the pens and notepads to make identical gift bags for her teachers. What is the greatest number of identical gift bags Riley can make?

Type answer here

Correct Answer: 14

Deg^°

Rad

Multiple Select

page 34 #4 b

Riley has 28 pens and 14 notepads. She uses all of the pens and notepads to make identical gift bags for her teachers. Each gift bag contains a certain number of pens and notepads. How many pens and notepads are in each gift bag?

• 1 pen

• 2 pens

• 1 notepad

• 2 notepads

• 4 pens

Math Response

page 35 #7What is the greatest common factor of 26 and 39?

Type answer here

Correct Answer: 13

Deg^°

Rad

Math Response

page 35 #8

What is the greatest common factor of 13 and 14?

Type answer here

Correct Answer: 1

Deg^°

Rad

Math Response

page 35 #9a

A group of 18 sixth graders and 24 fifth graders play a trivia game. Each is placed on a team. Each team must have the same ratio of the number of sixth graders to the number of fifth graders. What is the greatest number of teams that can play the trivia game?

Type answer here

Correct Answer: 6

Deg^°

Rad

Multiple Choice

page 35 #9 b

A group of 18 sixth graders and 24 fifth graders play a trivia game. Each is placed on a team. How many sixth graders does each team have?

• 2

• 3

• 4

• 6

Multiple Choice

What is the prime factorization of 24?

• 2 x 2 x 2 x 3

• 2 x 3 x 4

• 3 x 3 x 2

• 2 x 2 x 6

Multiple Choice

What is the prime factorization of 60?

• 2 x 3 x 5

• 2 x 2 x 3 x 5

• 3 x 5 x 7

• 2 x 2 x 2 x 5

Multiple Choice

What is the greatest common factor of 24 and 60?

• 6

• 8

• 12

• 24

Multiple Choice

What are the common factors of 45 and 30?

• 1, 3, 5, 15

• 1, 2, 3, 6

• 1, 5, 10, 15

• 1, 3, 9, 27