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Find prime factors

Prime factorization is the process of finding the prime numbers that multiply together to give a specific number. This is often used in mathematics to simplify fractions or solve problems involving factors.

Step 1: Begin with the Number

To find the prime factors of a number, start with the number itself. Let's take an example: 72.

Step 2: Divide by Prime Numbers

Start dividing the number by the smallest prime number, 2, and continue dividing by prime numbers until you cannot divide evenly anymore.

For example, for 72:

72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 3 = 3
3 is already a prime number.

Step 3: Record the Prime Factors

The prime factors of 72 are 2, 2, 2, 3, and 3.

Step 4: Check Your Work

Multiply all the prime factors together to ensure you get the original number: 2 * 2 * 2 * 3 * 3 = 72.