Lesson 16: Factoring GCF TLW will factor polynomials finding the GCF.
Primes & Composites, GCF
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Transcript of Primes & Composites, GCF
Agenda Tuesday, Nov. 10
homework 3 p. 193 #2 - 20, 25 - 28
Do NowWrite using exponents
1. 3 * x * y * x 3x2y
2. a * b * a * b * b * -2 -2a2b3
3. Evaluate: 4x2 + 3 for x = -5 4(-5)2 + 3
4 * 25 + 3
100 + 3 = 103
Correct homework
4-3 Prime Factorization & Greatest Common Factor
Daily Scribe -
A Prime number can only be divided evenly by itself AND one.
One is not a prime because it can ONLY be divided evenly by one.
Frayer Model
Definition Characteristics
prime number
Examples Nonexamples
Frayer Model
Definition Characteristics
composite number
Examples Nonexamples
Are these number Prime or Composite?
Prime factorization - a composite number written as the product of it's prime factors
Divide by prime numbers beginning with 2.
182933
Gather the primes and put in exponential form.
2*3*32*32
How Do You Findthe Greatest Common
Factor(GCF)
Using Prime Factorization?
Prime Factors of 20
Prime Factors of 12
Greatest Common Factor (GCF)
20 = 2 x 2 x 5
12 = 2 x 2 x 3
3
2
25
1) Which numbers are in both circles? 2, 2
2) Find the product of the numbers that are in both circles. 4
Prime Factors of 20
Prime Factors of 12
20 = 2 x 2 x 5
12 = 2 x 2 x 3
3
2
2
5
The Greatest Common Factor (GCF) is the product of the common prime factors. The GCF of 12 and 20 is 4.
Move the rectangle to check your answer.
Prime Factors of 28
Prime Factors of 16
28 = 2 x 2 x 7
16 = 2 x 2 x 2 x 2
Directions: Find the prime factorization of each number. Use the Venn diagram below to show the prime factors of 16 and 28. Then use it to find the GCF.
Prime Factors of 56
Prime Factors of 42
56 = 2 x 2 x 2 x 7
42 = 2 x 3 x 7
Directions: Find the prime factorization of each number. Use the diagram below to show the prime factors of 42 and 56. Then use it to find the GCF.
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