Download - Primes & Composites, GCF
![Page 1: Primes & Composites, GCF](https://reader034.vdocuments.us/reader034/viewer/2022042601/545cb952af7959af098b4975/html5/thumbnails/1.jpg)
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 -
![Page 2: Primes & Composites, GCF](https://reader034.vdocuments.us/reader034/viewer/2022042601/545cb952af7959af098b4975/html5/thumbnails/2.jpg)
![Page 3: Primes & Composites, GCF](https://reader034.vdocuments.us/reader034/viewer/2022042601/545cb952af7959af098b4975/html5/thumbnails/3.jpg)
![Page 4: Primes & Composites, GCF](https://reader034.vdocuments.us/reader034/viewer/2022042601/545cb952af7959af098b4975/html5/thumbnails/4.jpg)
![Page 5: Primes & Composites, GCF](https://reader034.vdocuments.us/reader034/viewer/2022042601/545cb952af7959af098b4975/html5/thumbnails/5.jpg)
![Page 6: Primes & Composites, GCF](https://reader034.vdocuments.us/reader034/viewer/2022042601/545cb952af7959af098b4975/html5/thumbnails/6.jpg)
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.
![Page 7: Primes & Composites, GCF](https://reader034.vdocuments.us/reader034/viewer/2022042601/545cb952af7959af098b4975/html5/thumbnails/7.jpg)
Frayer Model
Definition Characteristics
prime number
Examples Nonexamples
![Page 8: Primes & Composites, GCF](https://reader034.vdocuments.us/reader034/viewer/2022042601/545cb952af7959af098b4975/html5/thumbnails/8.jpg)
Frayer Model
Definition Characteristics
composite number
Examples Nonexamples
![Page 9: Primes & Composites, GCF](https://reader034.vdocuments.us/reader034/viewer/2022042601/545cb952af7959af098b4975/html5/thumbnails/9.jpg)
Are these number Prime or Composite?
![Page 10: Primes & Composites, GCF](https://reader034.vdocuments.us/reader034/viewer/2022042601/545cb952af7959af098b4975/html5/thumbnails/10.jpg)
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
![Page 11: Primes & Composites, GCF](https://reader034.vdocuments.us/reader034/viewer/2022042601/545cb952af7959af098b4975/html5/thumbnails/11.jpg)
How Do You Findthe Greatest Common
Factor(GCF)
Using Prime Factorization?
![Page 12: Primes & Composites, GCF](https://reader034.vdocuments.us/reader034/viewer/2022042601/545cb952af7959af098b4975/html5/thumbnails/12.jpg)
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
![Page 13: Primes & Composites, GCF](https://reader034.vdocuments.us/reader034/viewer/2022042601/545cb952af7959af098b4975/html5/thumbnails/13.jpg)
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.
![Page 14: Primes & Composites, GCF](https://reader034.vdocuments.us/reader034/viewer/2022042601/545cb952af7959af098b4975/html5/thumbnails/14.jpg)
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.
![Page 15: Primes & Composites, GCF](https://reader034.vdocuments.us/reader034/viewer/2022042601/545cb952af7959af098b4975/html5/thumbnails/15.jpg)
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.
![Page 16: Primes & Composites, GCF](https://reader034.vdocuments.us/reader034/viewer/2022042601/545cb952af7959af098b4975/html5/thumbnails/16.jpg)
Attachments