Calculatorism

Prime Factorization Calculator

Decompose a positive integer into its prime factors.

Input Data

要大於 1 的正整數。

Results

2³ × 3² × 5
Prime factors of 360

At a glance:Prime factorization expresses a composite number as a product of primes. By the fundamental theorem of arithmetic, every integer >1 has a unique factorization (up to order).

Formula

n = p₁^a₁ · p₂^a₂ · … where pᵢ are primes.

How to Use

  1. Enter a positive integer n.
  2. Read its prime factorization.

FAQ

How is a prime itself factored?

A prime's factorization is just itself (e.g. 7 = 7).

What about 1?

1 is neither prime nor composite and has no prime factorization; the tool says so.

Related Tools

References

Content review: Calculatorism Science Team. Results are for reference only.

Found a problem with the results?

If this calculator's result is wrong, or you have any question about the calculation logic, please let us know. You are viewing:Prime Factorization Calculator/math/factor)。