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

• Find the prime factorization of a composite number.

• prime number • composite number • prime factorization • factor tree

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

Determine whether the number 41 is prime or composite. A. prime B. composite

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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.

Determine whether the number 24 is prime or composite. A. prime B. composite

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Find the Prime Factorization Find the prime factorization of 100. Method 1 Use a factor tree. 100 50 25 5

×

×

×

2

2×2

5×2×2

Find the Prime Factorization Method 2 Divide by prime numbers.

Start here. The divisors are 2, 2, 5, and 5. Answer: The prime factorization of 100 is 2 × 2 × 5 × 5 or 22 × 52.

Find the prime factorization of 72.

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Factor an Algebraic Expression ALGEBRA Factor 21m2n.

21m2n 21

×

m2 n m2

3

× 7×

× n

3

× 7×m×m×n

Answer: 21m2n = 3 ● 7 ● m ● m ● n

ALGEBRA Factor 15xy3.

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End of the Lesson

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

Five-Minute Check (over Chapter 3) Image Bank Math Tools

Percents Prime Factorization

(over Chapter 3)

Write the sentence as an algebraic equation. Seven years more than Tom’s age is 35. A. t – 35 = 7 B. t – 7 = 35 A B C 0% D

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C. t + 7 = 35

(over Chapter 3)

Solve n – 7 = –10. A. –17 B. –3

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(over Chapter 3)

Solve 6s = 42. A. 7 B. 8

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(over Chapter 3)

Solve r + 4 = –3. A. r = 7 B. r = 1

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D. r = –7

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C. r = –1

(over Chapter 3)

Refer to the figure. Complete the function table.

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(over Chapter 3)

Which algebraic expression matches the phrase? 15 less than the product of n and 4 A. 4n – 15 B. 15 – 4n

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