Go through the Math in Focus Grade 6 Workbook Answer Key Chapter 1 Lesson 1.2 Prime Factorization to finish your assignments.

## Math in Focus Grade 6 Course 1 A Chapter 1 Lesson 1.2 Answer Key Prime Factorization

### Math in Focus Grade 6 Chapter 1 Lesson 1.2 Guided Practice Answer Key

**Complete.**

Question 1.

Express 48 as a product of its prime factors.

Answer:

Method 1

Method 2

### Math in Focus Course 1A Practice 1.2 Answer Key

Question 1.

Copy the array of numbers. Circle all the prime numbers.

Answer:

Explanation:

I circled all the prime numbers between 1 and 30.

**Express each number as a product of its prime factors.**

Question 2.

6

Answer:

6 = 2 x 3

Explanation:

2 and 3 are the prime factors of 6.

Question 3.

15

Answer:

15 = 3 x 5

Explanation:

3 and 5 are the prime factors of 15.

Question 4.

36

Answer:

36 = 2 x 2 x 3 x 3

Explanation:

2 and 3 are the prime factors of 36.

Question 5.

78

Answer:

78 = 2 x 3 x 13

Explanation:

2, 3 and 13 are the prime factors of 78.

Question 6.

184

Answer:

184 = 2 x 2 x 2 x 23

Explanation:

2 and 23 are the prime factors of 184.

Question 7.

360

Answer:

360 = 2 x 2 x 2 x 3 x 3 x 5

Explanation:

2, 3 and 5 are the prime factors of 360.

Question 8.

24

Answer:

24 = 2 x 2 x 2 x 3

Explanation:

2 and 3 are the prime factors of 24.

Question 9.

49

Answer:

49 = 7 x 7

Explanation:

7 is the only prime factor of 49.

Question 10.

81

Answer:

81 = 3 x 3 x 3 x 3

Explanation:

3 is the prime factor of 81.

Question 11.

144

Answer:

144 = 2 x 2 x 2 x 2 x 3 x 3

Explanation:

2 and 3 are the prime factors of 144.

Question 12.

245

Answer:

245 = 5 x 7 x 7

Explanation:

5 and 7 are the prime factors of 245.

Question 13.

510

Answer:

510 = 2 x 3 x 5 x 17

Explanation:

2, 3, 5 and 17 are the prime factors of 510.

Question 14.

250

Answer:

250 = 2 x 5 x 5 x 5

Explanation:

2 and 5 are the prime factors of 250.

Question 15.

1,089

Answer:

1089 = 3 x 3 x 11 x 11

Explanation:

3 and 11 are the prime factors of 1089.

Question 16.

4,725

Answer:

4725 = 3 x 3 x 3 x 5 x 5 x 7.

Explanation:

3, 5 and 7 are the prime factors of 4725.

Question 17.

900

Answer:

900 = 2x 2 x 3 x 3 x 5 x 5

Explanation:

2, 3 and 5 are the prime factors of 900.

Question 18.

27,000

Answer:

27000 = 2x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5.

Explanation:

2, 3 and 5 are the prime factors of 27000.

**Solve.**

Question 19.

**Math Journal** Describe the steps for finding the prime factors of 42.

Answer:

Question 20.

400 written as a product of its prime factors is 2 × 2 × 2 × 2 × 5 × 5. Write 800 as a product of its prime factors.

Answer:

2 x 2 × 2 × 2 × 2 × 5 × 5 = 800

Explanation:

800 written as a product of its prime factors is 2 x 2 × 2 × 2 × 2 × 5 × 5.

Question 21.

Given that 320 written as a product of its prime factors is 2 × 2 × 2 × 2 × 2 × 2 × 5, write 3,200 as a product of its prime factors.

Answer:

2 x 2 × 2 × 2 × 2 × 2 × 2 × 5 x 5 = 3200

Explanation:

3200 written as a product of its prime factors is 2 x 2 × 2 × 2 × 2 × 2 × 2 × 5 x 5 .

Question 22.

2,700 written as a product of its prime factors is 2 × 2 × 3 × 3 × 3 × 5 × 5. Write 270 as a product of its prime factors.

Answer:

2 × 3 × 3 × 3 × 5 = 270

Explanation:

270 written as a product of its prime factors is 2 × 3 × 3 × 3 × 5.

Question 23.

It is given that 4,800 can be expressed in terms of its prime factors as 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5.

a) Write 1,200 as a product of its prime factors.

Answer:

2 x 2 x 2 x 2 x 3 x 5 x 5 = 1200

Explanation:

1200 can be expressed in terms of its prime factors as 2 x 2 x 2 x 2 x 3 x 5 x 5.

b) Now, write 120 as a product of its prime factors.

Answer:

2 x 2 x 2 x 3 x 5 = 120

Explanation:

120 can be expressed in terms of its prime factors as 2 x 2 x 2 x 3 x 5 .