Lesson 4.1 - Prime Factorization
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Transcript of 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
• prime number
• composite number
• prime factorization
• factor tree
• Find the prime factorization of a composite number.
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
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2. B
0%0%
A. prime
B. composite
Determine whether the number 41 is prime or composite.
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.
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2. B
0%0%
A. prime
B. composite
Determine whether the number 24 is prime or composite.
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
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.
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4. D0% 0%0%0%
Find the prime factorization of 72.
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
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2. B
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ALGEBRA Factor 15xy3.
End of the Lesson
H.W. - PG 183. # 11-40
Five-Minute Check (over Chapter 3)
Image Bank
Math Tools
Percents
Prime Factorization
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(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.
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2. B
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(over Chapter 3)
A. –17
B. –3
C. 3
D. 17
Solve n – 7 = –10.
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2. B
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(over Chapter 3)
Solve 6s = 42.
A. 7
B. 8
C.
D.
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2. B
3. C
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(over Chapter 3)
A. r = 7
B. r = 1
C. r = –1
D. r = –7
Solve r + 4 = –3.
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2. B
3. C
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(over Chapter 3)
Refer to the figure. Complete the function table.
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C. D.
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2. B
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(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