Here are some examples of how to find the Prime Factorization of a number:

Example 1 - Find the Prime Factorization of 228.

Step 1: Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers.
Prime Factorization of 228
Step 2: Write the number as a product of prime numbers.
Prime Factorization of 228

Example 2 - Find the Prime Factorization of 189.

Step 1: Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers.
Prime Factorization of 189
Step 2: Write the number as a product of prime numbers.
Prime Factorization of 189

Example 3 - Find the Prime Factorization of 300.

Step 1: Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers.
Prime Factorization of 300
Step 2: Write the number as a product of prime numbers.
Prime Factorization of 300