# Finding the prime factorization

Prime factorization is a way of expressing a number as a product of its prime factors. A prime number is a number that has exactly two factors, 1 and the number itself. For example, if we take the number 30. We know that 30 = 5 × 6

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## How to Find the Prime Factorization of a Number

6 ÷ 2 = 3. Yes, that worked also. And 3 is a prime number, so we have the answer: 12 = 2 × 2 × 3. As you can see, every factor is a prime number, so the answer must be right. Note: 12 = 2 × 2 × 3 can also be written using exponents as 12 = 22 × 3.

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## How do you find prime factorization of a number?

1) Write the Prime Factorization of each number. In other words, express each number as a product of numbers written in an exponential form. Obviously, the base will always be a prime