Prime Factorization Calculator

Break a number into its prime factors.

Prime factorization 2 × 2 × 2 × 3 × 3 × 5

Formula: divide out primes from smallest up

Step-by-step with your numbers:

1. Values used:

2. Number = 360

4. Prime factorization = 2 × 2 × 2 × 3 × 3 × 5

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Express a number as a product of primes.

The math behind it

Repeatedly divide by the smallest prime that fits, until you reach 1.

360 = 2 × 2 × 2 × 3 × 3 × 5.

Use?

Finding GCF/LCM and simplifying radicals.