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Prime factorization calculator

Split an integer into prime factors, including repeats.

Prime factors

2 × 2 × 2 × 3 × 3 × 5
Count including repeats
6

Formula

n = p₁ × p₂ × … × pₖ

Integer = 360

How to use

  1. Enter an integer from 2 to 1000000000.
  2. Read the ordered prime factors.
  3. Multiply them to check the original number.

Examples

  • 12 = 2 × 2 × 3.
  • 360 = 2 × 2 × 2 × 3 × 3 × 5.

Frequently asked questions

Why are some factors repeated?

Their multiplicity is needed: 12 = 2 × 2 × 3.

What happens for a prime?

Its only prime factor is itself.

Why is 1 excluded?

One is not prime and has no prime factors.

Sources

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