1. Prime Factorization of 3 Digit numbers Factor Tree method

2. Remembering this would be helpful
Table of Prime numbers
List of Prime numbers between 1 to 100
Prime numbers between 2 to 20 : , 3 , 5 , 7 , 11 , 13 , 17 , 19
Prime numbers between 20 to 40 : 23 , 29 , 31 , 37
Prime numbers between 40 to 60 : 41 , 43 , 47 , 53 , 59
Prime numbers between 60 to 80 : 61 , 67 , 71 , 73 , 79
Prime numbers between 80 to 100 : 83 , 87 , 89 , 97
Remembering this would be helpful

3. Prime Factorization Method
When a number is expressed as a product of its factors we say that the
number has been factorized. When these factors are only prime numbers we
call this method as Prime Factorization Method.
Check the number 28
It uses a visual presentation called a
factor tree. As we add more
branches, we will see that this visual
representation looks like an upside
down tree. 28 14 2 7
Prime Factorization of 28 is = 2 x 2 x 7

4. Recap-Steps to find Prime Factors of a number
Step1: Divide the given number by prime numbers only
Step2: Continue dividing till we get only prime numbers
Step3: Prime factorization is the product of all prime number (order
them from the least to the greatest)

5. Example 1: Express 195 as a product of its prime factors
195 can be written as 3  something...
List the first few prime numbers:
2, 3, 5, 7, 11, 13, 17, 19... 3 65
65 can be written as 5  something... 5 13
13 is a prime number, so stop the process
Prime factorization is the product of multiplying it’s prime factors.
195 = 3  5  13
This is called a factor tree. All the red digits are prime factors of 195.
Remember: This is not the only possible factor tree, but any factor tree should give the same end result!

6. Example 2: Express 180 as a product of its prime factors
180 is an even number so can be written as 2  something...
List the first few prime numbers:
2, 3, 5, 7, 11, 13, 17, 19...
180
90 can be written as 2  something... 90 2
45 can be written as 3  something... 2 45
15 can be written as 3  something... 15 3
5 is a prime number, so stop the process 3 5
Prime factorization is the product of multiplying it’s prime factors.
180 = 2  2  3 x 3 x 5
This is called a factor tree. All the red digits are prime factors of 180.

7. Example 3: Express 224 as a product of its prime factors
224 is an even number so can be written as 2  something...
List the first few prime numbers:
2, 3, 5, 7, 11, 13, 17, 19...
224
112 is not a prime number, so repeat the process with 2
112 2
56 is not a prime number, so repeat the process with 2 2 56
28 is not a prime number, so repeat the process with 2 28 2
14 is not a prime number, so repeat the process with 2
Prime factorization is the product of multiplying it’s prime factors. 2 14
224 = 2  2  2 x 2 x 2 x 7
7 is a prime number, so stop the process 2 7
This is called a factor tree. All the red digits are prime factors of 224.

8. Try these 1. Express 108 as a product of its prime factors