Factor Calculator

Type a whole number or a quadratic. You get its factors and the divisions that found them.

Example — Factor 360360 = 2^3 × 3^2 × 5

How we got it — the example, step by step

  1. Divide by the smallest prime that fits, and keep going: 360 ÷ 2 = 180, ÷ 2 = 90, ÷ 2 = 45.
  2. 45 ÷ 3 = 15, ÷ 3 = 5. Five is prime, so stop.
  3. Collect the primes: 2 × 2 × 2 × 3 × 3 × 5 = 2^3 × 3^2 × 5.

Check it backwards

2^3 × 3^2 × 5 = 8 × 9 × 5 = 360. Back where we started.

Questions people also ask

Can it factor polynomials?
Quadratics in x, yes — it finds the roots and writes the factors from them. Higher-degree polynomials are not in yet.

Does it list all divisors too?
For whole numbers, yes — the check line lists every divisor of the number, not just the prime factors.

Related calculators

Every answer on this page is computed, not typed from memory — the check under each result runs the calculation backwards. Figures are rounded only where the page says so. Last updated: October 13, 2026 · Clirto — every answer free, every step shown.

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