Transcript Prime Factorization - simonbaruchcurriculum

Prime Factorization
Unit 1
SWBAT Generate a model of prime
factors and prime numbers
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Homework: Prime Factorization WS
Do Now: Use a factor house to find
the factors of 72
72
Vocabulary
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Prime Number
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A number that has exactly ____factors
Example: The factors of 23 are…
Prime Factorization
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To write a number as the
__________of its _____factors
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Circle the Prime Numbers:
2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 ,13 ,14, 15, 16, 17, 18, 19, 20
21
Class Notes
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Step 1: Begin with any two factors of the
number
Step 2: Continue to write factors of each
composite number, circle any prime
numbers
Step 3: Continue this process until all of
the numbers are prime (and circled)
Step 4: Write the prime factors from least
to greatest.
Step 5: Write the factors in exponential
form.
Teacher Example
24
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Expanded
Exponential
Scholar Example
32
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Expanded
Exponential
Partner Practice - Level 2
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Use A Factor Tree to find the prime
factorization of 60
60
Expanded
Exponential
Think-Pair-Share
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Think about it. Write your thoughts
down. Share with a partner.
How does a factor tree help you find
the prime factorization? (Write in
complete sentences)
Bachelors Practice
a.) 40
b.) 40
2 X 20
4
___ X ___
2 X __
__ X 2
X
10
___ X ___
Bachelors Practice 1c
40
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5
X
8
__
X
__
___
X
___
Bachelors Practice 2
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Which number is the same as 24 x 3?
a.)
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 d.)
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12
14
24
48
Bachelors 3
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One scholar began to factor 80 as 8 x
10. Another scholar began with 2 x 40.
Will their answer be different?
____________
Explain
Bachelors 4
Draw a factor tree to show the prime factorization of
each. Then rewrite using exponents. If the number is
prime, write prime
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a.) 56
b.) 75
Prime Factorization:
Prime Factorization
_____________
_____________
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Bachelors 4
c.) 42
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d.) 79
Prime Factorization:
_____________
Prime Factorization:
_____________
Exit Ticket
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1.) 23 x 3 x 5 is the prime factorization of
what number?
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a. 120
b. 30
c. 90
d. 60
Exit Ticket # 2
2.) Stanley says the prime factorization of 20
is 4 x 5. Is he correct?
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a. Circle Either :
b. Explain
Yes
No
Prime Factorization
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3.) What is the prime factorization of 150?