What Is Prime Factorization?
Prime factorization is writing a whole number as a product of prime numbers. For example, 60 = 2 × 2 × 3 × 5, or 2² × 3 × 5. Every whole number greater than 1 has exactly one prime factorization, apart from the order of the factors.
How to Find It
Divide repeatedly by the smallest prime that divides the number: 60 ÷ 2 = 30, 30 ÷ 2 = 15, 15 ÷ 3 = 5, and 5 is prime.
Uses
Prime factorizations make it easy to find the greatest common factor and least common multiple.
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Last updated: September 27, 2026. This definition is for general educational purposes only. It is not financial, investment, tax, legal, or medical advice, and it does not recommend any product or course of action. For decisions about your own situation, consult a qualified professional.