Objectives The student will be able to: 1. find the prime factorization of a number. 2. find the...
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Transcript of Objectives The student will be able to: 1. find the prime factorization of a number. 2. find the...
![Page 1: Objectives The student will be able to: 1. find the prime factorization of a number. 2. find the greatest common factor (GCF) for a set of monomials.](https://reader035.fdocuments.in/reader035/viewer/2022072005/56649ccf5503460f9499b224/html5/thumbnails/1.jpg)
ObjectivesThe student will be able to:
1. find the prime factorization of a number.
2. find the greatest common factor (GCF) for a set of monomials.
![Page 2: Objectives The student will be able to: 1. find the prime factorization of a number. 2. find the greatest common factor (GCF) for a set of monomials.](https://reader035.fdocuments.in/reader035/viewer/2022072005/56649ccf5503460f9499b224/html5/thumbnails/2.jpg)
A prime number is a number that can only be divided by
only one and itself.
A composite number is a number greater than one that is not prime.
Prime or composite?37
prime51
composite
![Page 3: Objectives The student will be able to: 1. find the prime factorization of a number. 2. find the greatest common factor (GCF) for a set of monomials.](https://reader035.fdocuments.in/reader035/viewer/2022072005/56649ccf5503460f9499b224/html5/thumbnails/3.jpg)
Prime or Composite?89
1. Prime
2. Composite
3. Both
4. Neither
![Page 4: Objectives The student will be able to: 1. find the prime factorization of a number. 2. find the greatest common factor (GCF) for a set of monomials.](https://reader035.fdocuments.in/reader035/viewer/2022072005/56649ccf5503460f9499b224/html5/thumbnails/4.jpg)
1) Find the prime factorization of 84.84 = 4 • 21
= 2 • 2 • 3 • 7
= 22 • 3 • 7
2) Find the prime factorization of -210.
-210 = -1 • 210
= -1 • 30 • 7
= -1 • 6 • 5 • 7
= -1 • 2 • 3 • 5 • 7
![Page 5: Objectives The student will be able to: 1. find the prime factorization of a number. 2. find the greatest common factor (GCF) for a set of monomials.](https://reader035.fdocuments.in/reader035/viewer/2022072005/56649ccf5503460f9499b224/html5/thumbnails/5.jpg)
3) Find the prime factorization of 45a2b3
45a2b3 = 9 • 5 • a • a • b • b • b
= 3 • 3 • 5 • a • a • b • b • b
= 32 • 5 • a • a • b • b • b
Write the variables without exponents.
![Page 6: Objectives The student will be able to: 1. find the prime factorization of a number. 2. find the greatest common factor (GCF) for a set of monomials.](https://reader035.fdocuments.in/reader035/viewer/2022072005/56649ccf5503460f9499b224/html5/thumbnails/6.jpg)
What is the prime factorization of 48?
1. 3 16
2. 3 4 4
3. 2 2 3 4
4. 2 2 2 2 3
![Page 7: Objectives The student will be able to: 1. find the prime factorization of a number. 2. find the greatest common factor (GCF) for a set of monomials.](https://reader035.fdocuments.in/reader035/viewer/2022072005/56649ccf5503460f9499b224/html5/thumbnails/7.jpg)
The Greatest Common Factor (GCF) of 2 or more numbers isthe largest number that can divide
into all of the numbers.
4) Find the GCF of 42 and 60.
Write the prime factorization of each number.
![Page 8: Objectives The student will be able to: 1. find the prime factorization of a number. 2. find the greatest common factor (GCF) for a set of monomials.](https://reader035.fdocuments.in/reader035/viewer/2022072005/56649ccf5503460f9499b224/html5/thumbnails/8.jpg)
Greatest Common Factor (GCF)
The GCF is extremely important when simplifying or reducing
fractions.
![Page 9: Objectives The student will be able to: 1. find the prime factorization of a number. 2. find the greatest common factor (GCF) for a set of monomials.](https://reader035.fdocuments.in/reader035/viewer/2022072005/56649ccf5503460f9499b224/html5/thumbnails/9.jpg)
4) Find the GCF of 42 and 60.
What prime factors do the numbers have in common?
Multiply those numbers.
The GCF is 2 • 3 = 6
6 is the largest number that can go into 42 and 60!
42 = 2 • 3 • 760 = 2 • 2 • 3 • 5
![Page 10: Objectives The student will be able to: 1. find the prime factorization of a number. 2. find the greatest common factor (GCF) for a set of monomials.](https://reader035.fdocuments.in/reader035/viewer/2022072005/56649ccf5503460f9499b224/html5/thumbnails/10.jpg)
5) Find the GCF of 40a2b and 48ab4.
40a2b = 2 • 2 • 2 • 5 • a • a • b48ab4 = 2 • 2 • 2 • 2 • 3 • a • b • b • b • b
What do they have in common?Multiply the factors together.
GCF = 8ab
![Page 11: Objectives The student will be able to: 1. find the prime factorization of a number. 2. find the greatest common factor (GCF) for a set of monomials.](https://reader035.fdocuments.in/reader035/viewer/2022072005/56649ccf5503460f9499b224/html5/thumbnails/11.jpg)
What is the GCF of 48 and 64?
1. 2
2. 4
3. 8
4. 16