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Lesson 4.1 - Prime Factorization

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Page 1: Lesson 4.1 - Prime Factorization
Page 2: Lesson 4.1 - Prime Factorization

Five-Minute Check (over Chapter 3)

Main Idea and Vocabulary

Example 1:Identify Numbers as Prime or Composite

Example 2:Identify Numbers as Prime or Composite

Example 3:Find the Prime Factorization

Example 4:Factor an Algebraic Expression

Page 3: Lesson 4.1 - Prime Factorization

• prime number

• composite number

• prime factorization

• factor tree

• Find the prime factorization of a composite number.

Page 4: Lesson 4.1 - Prime Factorization

Identify Numbers as Prime or Composite

Determine whether the number 63 is prime or composite.

Answer: The number 63 has six factors: 1, 3, 7, 9, 21, and 63. So, it is composite.

BrainPOP: Prime Factorization

Page 5: Lesson 4.1 - Prime Factorization

1. A

2. B

0%0%

A. prime

B. composite

Determine whether the number 41 is prime or composite.

Page 6: Lesson 4.1 - Prime Factorization

Identify Numbers as Prime or Composite

Determine whether the number 29 is prime or composite.

Answer: The number 29 has only two factors, 1 and 29, so it is prime.

Page 7: Lesson 4.1 - Prime Factorization

1. A

2. B

0%0%

A. prime

B. composite

Determine whether the number 24 is prime or composite.

Page 8: Lesson 4.1 - Prime Factorization

Find the Prime Factorization

Find the prime factorization of 100.

Method 1 Use a factor tree.

100

50 × 2

25 × 2 × 2

5 × 5 × 2 × 2

Page 9: Lesson 4.1 - Prime Factorization

Find the Prime Factorization

Method 2 Divide by prime numbers.

The divisors are 2, 2, 5, and 5.

Start here.

Answer: The prime factorization of 100 is 2 × 2 × 5 × 5 or 22 × 52.

Page 10: Lesson 4.1 - Prime Factorization

1. A

2. B

3. C

4. D0% 0%0%0%

Find the prime factorization of 72.

Page 11: Lesson 4.1 - Prime Factorization

ALGEBRA Factor 21m2n.

Answer: 21m2n = 3 ● 7 ● m ● m ● n

Factor an Algebraic Expression

21m2n

21 × m2n

3 × 7 × m2 × n

3 × 7 × m × m × n

Page 12: Lesson 4.1 - Prime Factorization

1. A

2. B

3. C

4. D0% 0%0%0%

ALGEBRA Factor 15xy3.

Page 13: Lesson 4.1 - Prime Factorization

End of the Lesson

H.W. - PG 183. # 11-40

Page 14: Lesson 4.1 - Prime Factorization

Five-Minute Check (over Chapter 3)

Image Bank

Math Tools

Percents

Prime Factorization

Page 15: Lesson 4.1 - Prime Factorization

1. A

2. B

3. C

4. D0% 0%0%0%

(over Chapter 3)

A. t – 35 = 7

B. t – 7 = 35

C. t + 7 = 35

D. t + 35 = 7

Write the sentence as an algebraic equation. Seven years more than Tom’s age is 35.

Page 16: Lesson 4.1 - Prime Factorization

1. A

2. B

3. C

4. D0% 0%0%0%

(over Chapter 3)

A. –17

B. –3

C. 3

D. 17

Solve n – 7 = –10.

Page 17: Lesson 4.1 - Prime Factorization

1. A

2. B

3. C

4. D0% 0%0%0%

(over Chapter 3)

Solve 6s = 42.

A. 7

B. 8

C.

D.

Page 18: Lesson 4.1 - Prime Factorization

1. A

2. B

3. C

4. D0% 0%0%0%

(over Chapter 3)

A. r = 7

B. r = 1

C. r = –1

D. r = –7

Solve r + 4 = –3.

Page 19: Lesson 4.1 - Prime Factorization

1. A

2. B

3. C

4. D0% 0%0%0%

(over Chapter 3)

Refer to the figure. Complete the function table.

A. B.

C. D.

Page 20: Lesson 4.1 - Prime Factorization

1. A

2. B

3. C

4. D0% 0%0%0%

(over Chapter 3)

A. 4n – 15

B. 15 – 4n

C. 15 – 4 + n

D. 4 + n – 15

Which algebraic expression matches the phrase? 15 less than the product of n and 4

Page 21: Lesson 4.1 - Prime Factorization