## Pre-Algebra Tutorial

*Prime Factorization*

#### Intro

Prime factorization is factoring out a number of its prime factors. A primary number is a number times by 1 and itself. A composite number has more than two factors. 1 can not be a prime factor since it only has one factor, which is only 1.

For example:

12=2*2*3

28=2*2*7

18=2*3*3

#### Sample Problem

What is the prime factorization of 144?

#### Solution

1. List all the factors of 144.

1,2,3,4,6,8,9,12,16,18,24,36,48,72, and 144

2. Remember, find only the prime factors.

2 and 3

3. Use that prime factor(s) to multiply to get to 144.

2*2*2*2*3*3=144.

Optional: if you want to take it a step further, you can use exponents.

Remember to use orders of operations or known as PEMDAS.

Remember that multiplication, division and addition and subtraction are read left to right.

2^4*3^2=144

16*3^2=144

16*9=144

144=144

# About The Author

Math, Biology, And History Instructor |

Hello. I am Kisung Yoon, and I am a senior in high school. I am currently in the ARISTA Honor Society, and I have tutored my fellow students from my school in Algebra I, Algebra 2, Global History, US History, and Biology. Not only that, I also tutored my younger sisters on the standardized tests mai... |

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