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. Let’s take an example of the number 30. We know that 30 is 5 × 6, but 6 is not a prime number. … Therefore, the prime factorization of 30 is 2 × 3 × 5.

How to Find Prime Factorization


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.

Step 2: Write the number as a product of prime numbers.

 

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