We included **HMH Into Math Grade 4 Answer Key**** PDF** **Module 10 Lesson 3 Generate Multiples Using Factors** to make students experts in learning maths.

## HMH Into Math Grade 4 Module 10 Lesson 3 Answer Key Generate Multiples Using Factors

I Can determine whether a number is a multiple of another number and generate lists of multiples.

**Step It Out
**1. Anna is making orange juice ice pops. She needs 4 fluid ounces of juice for each ice pop. Which of these cartons should Anna buy so she can use all the juice to make ice pops?

Determine which carton’s number of fluid ounces is a multiple of 4.

**Connect to Vocabulary**

A multiple is the product of two factors.

If 4 is a factor of a number, then that number is a multiple of 4.

A. Decide whether or not 4 is a factor of each number. Tell how you know.

Is 10 divisible by 4? _______

Is 12 divisible by 4? _______

Is 32 divisible by 4? _______

Is 59 divisible by 4? _______

B. Identify the choices that are multiples of 4.

Since 4 is a factor of the numbers ___, then the numbers ___ are multiples of 4.

C. Solve the problem.

Anna should buy the cartons with ___ fluid ounces.

Answer:

Anna should buy the cartons with 12, 32 fluid ounces.

Explanation:

She needs 4 fluid ounces of juice for each ice pop.

10 fluid ounces

Factors of 10:

1 × 10 = 10.

2 × 5 = 10.

12 fluid ounces

Factors of 12:

1 × 12 = 12.

2 × 6 = 12.

3 × 4 = 12.

32 fluid ounces

Factors of 32:

1 × 32 = 32.

2 × 16 = 32.

4 × 8 = 32.

59 fluid ounces

Factors of 59:

1 × 59 = 59.

Since 4 is a factor of the numbers 12,32 then the numbers 12,32 are multiples of 4.

**Turn and Talk** Why can you use divisibility to determine if a number is a multiple of another number?

Answer:

You can use divisibility to determine if a number is a multiple of another number because they help us to quickly determine if a number can be divided by 2, 3, 4, 5, 9, and 10 without doing long division.

Explanation:

Divisibility rules of whole numbers are very useful because they help us to quickly determine if a number can be divided by 2, 3, 4, 5, 9, and 10 without doing long division. Divisibility means that you are able to divide a number evenly.

For instance, 8 can be divided evenly by 4 because 8/4 = 2.

**Step It Out
**2.

Anna’s mold makes 6 ice pops. How many ice pops will she make if she fills the mold 1 to 5 times?

Find the first five multiples of 6.

A. Multiply 6 by each number of molds.

1 mold: ___ × ___ = ____

2 molds: ___ × ___ = ____

3 molds: ___ × ___ = ____

4 molds: ___ × ___ = ____

5 molds: ___ × ___ = ____

B. You can also use skip counting to find multiples.

Count by 6s five times.

___, ___, ___, ___, ____

C. If Anna fills the mold 1 to 5 times, she will make

____, ___, ___, ___ and ___ ice pops.

Answer:

Anna fills the mold 1 to 5 times, she will make 6, 12, 18, 24 and 30 ice pops.

Explanation:

Multiply 6 by each number of molds.

1 mold: 1 × 6 = 6.

2 molds: 2 × 6 = 12.

3 molds: 3 × 6 = 18.

4 molds: 4 × 6 = 24.

5 molds: 5 × 6 = 30.

**Turn and Talk** How are factors and multiples related?

Answer:

Factors and multiples are related to multiplication.

Explanation:

Factors and Multiples – Both of these are related to multiplication. While factors are what you multiply to get a number, multiples on the other hand are what you get after multiplying a number by an integer.

**Check Understanding Math Board
**Question 1.

Circle the multiples of 3.

21 23 25 36

Answer:

Explanation:

Multiples of 3: 3,6,9,12,15,18,21,24,27,30,33,36,42.

Question 2.

Write the first five multiples of 5.

_____________________

Answer:

First five multiples of 5 are 5,10,15,20,25.

Explanation:

First five multiples of 5:

5,10,15,20,25,30,35,40,45,50.

Question 3.

The number on Sydney’s soccer jersey is a multiple of 8. Which of these jerseys could be Sydney’s?

_____________________

Answer:

24 n 64 could be jerseys Sydney’s.

Explanation:

The number on Sydney’s soccer jersey is a multiple of 8.

=> 8,16,24,32,40,48,56,64,72,80.

**On Your Own
**Question 4.

**Use Structure**There are 4 quarters in a dollar. Which stacks of quarters have whole dollar amounts as the total? Show or explain how you found your answer.

Answer:

16 stacks of quarters have whole dollar amounts as the total.

Explanation:

There are 4 quarters in a dollar.

Multiple of 4:

48 ÷ 4 = 12.

30 not multiple of 4.

16 ÷ 4 = 4.

14 not multiple of 4.

**Circle the answers.
**Question 5.

Which of the following are multiples of 5?

1 23 35 60

Answer:

35 and 60 of the following are multiples of 5.

Explanation:

Multiples of 5:

5,10,15,20,25,30,35,40,45,50,55,60.

Question 6.

Which of the following are multiples of 6?

22 36 42 70

Answer:

36 and 42 of the following are multiples of 6.

Explanation:

Multiples of 6:

6,12,18,24,30,36,42,48,54,60,66,72,78.

**Find the first five multiples of the number. Write multiplication equations to show they are multiples.
**Question 7.

2: ____________________

_____________________

Answer:

First five multiples of the 2: 2,4,6,8,10.

Explanation:

Multiples of the 2:

2 × 1 = 2.

2 × 2 = 4.

2 × 3 = 6.

2 × 4 = 8.

2 × 5 = 10.

Question 8.

9: ____________________

_____________________

Answer:

First five multiples of the 9: 9,18,27,36,45.

Explanation:

Multiples of the 9:

9 × 1 = 9.

9 × 2 = 18.

9 × 3 = 27.

9 × 4 = 36.

9 × 5 = 45.

Question 9.

3: ____________________

_____________________

Answer:

First five multiples of the 3: 3,6,9,12,15.

Explanation:

Multiples of the 3:

3 × 1 = 3.

3 × 2 = 6.

3 × 3 = 9.

3 5 4 = 12.

3 × 5 = 15.

Question 10.

**Attend to Precision** Tennis balls are sold in canisters as shown. How many tennis balls are in 1 to 5 canisters?

Answer:

3,6,9,12,15 tennis balls are in 1 to 5 canisters.

Explanation:

Tennis balls are in:

1 canister: 1 × 3 = 3.

1 canister: 2 × 3 = 6.

1 canister: 3 × 3 = 9.

1 canister: 4 × 3 = 12.

1 canister: 5 × 3 = 15.

**On Your Own
**Question 11.

Tina bathes her dog, Jasper, every 9 days. The last time Jasper got a bath was December 31, which is marked with an X on the calendar. On which days in January will Jasper get a bath?

Answer:

Explanation:

Tina bathes her dog, Jasper, every 9 days. The last time Jasper got a bath was December 31.

Number of dates on her Dog bath in January:

9 × 1 = 9.

9 × 2 = 18.

9 × 3 = 27.

Question 12.

Complete to show the first six multiples of 6.

6, ____, 18, ____, 30, ____

Answer:

First six multiples of 6: 6,12,18,24,30,36.

Explanation:

First six multiples of 6:

6,12,18,24,30,36.

Question 13.

Complete to show the first six multiples of 7.

____, 14, ____, ____, 35, ____

Answer:

First six multiples of 7:

7,14,21,28,35,42.

Explanation:

First six multiples of 7:

7,14,21,28,35,42,49.

Question 14.

Use Structure Eggs are packaged in cartons like this. Explain whether 46 or 48 eggs would fill a whole number of cartons.

Answer:

48 eggs would fill a whole number of cartons not 46.

Explanation:

Number of Structure Eggs packaged in cartons = 6.

Multiples of 6:

6,12,18,24,30,36,42,48,54,60.

Question 15.

**Use Repeated Reasoning** Find the first six multiples of 4. Then find the first six multiples of 8. What pattern do you notice between the two sets of multiples? What can you conclude about the multiples of 8?

Answer:

Patter noticed between the two sets of multiples is that double multiples of 8 are double the multiples of 4. It is noticed that multiples of 8 are the multiples of 4.

Explanation:

First six multiples of 4:

4,8,12,16,20,24.

First six multiples of 8:

8,16,24,32,40,48.

Question 16.

**Critique Reasoning** Phil says that a number always has more multiples than it has factors. Do you agree? Explain.

Answer:

Yes, I agree with Phil because factors are the numbers which divide the given number exactly, whereas the multiples are the numbers which are multiplied by the other number to get specific numbers.

Explanation:

Factors are the numbers which divide the given number exactly, whereas the multiples are the numbers which are multiplied by the other number to get specific numbers.