Prime Factorization Calculator

Break any integer into its prime factors.

Quick answer: Calculate prime factorization online safely. Break down any integer into its prime factors using our free math tool.

Prime factors of 3602^3 × 3^2 × 5
As a list2, 2, 2, 3, 3, 5
Is prime?No

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Factor any whole number into its prime building blocks, shown both in exponent form and as a full list, with a check for whether the number itself is prime.

How it works

  1. Type an integer to factorize.
  2. The engine divides by successive primes mathematically.
  3. Review the broken-down prime elements in exponent format.

Frequently asked questions

What is prime factorization?

Expressing a number as a product of primes — for example, 360 = 2^3 x 3^2 x 5. Every integer has a unique factorization.

Why does it matter?

It underlies finding GCD and LCM, simplifying fractions, and much of number theory and cryptography.

How big a number can it handle?

Up to about a trillion comfortably. Very large semiprimes (as used in cryptography) are deliberately hard to factor.

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