What is prime factorization?

Writing a number as a product of prime numbers. Every integer greater than 1 has a unique factorization (Fundamental Theorem of Arithmetic).

0 is not factored; 1 has no prime factors (empty product). Negative numbers use the factorization of their absolute value with a minus sign.

Online Prime Factorization Calculator

Decompose an integer into its prime factors. See the full factorization (e.g. 60 = 2² × 3 × 5).

Integer

What is prime factorization?: Writing a number as a product of prime numbers. Every integer greater than 1 has a unique factorization (Fundamental Theorem of Arithmetic).
What about 0 or 1?: 0 is not factored; 1 has no prime factors (empty product). Negative numbers use the factorization of their absolute value with a minus sign.

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Calculate C(n,r) — the number of ways to choose r items from n without order. Uses n!/(r!(n-r)!).

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Count how many permutations of n objects are even (expressible as an even number of swaps). For n ≥ 2, equals n!/2.