Prime factorization · exact BigInt

See the exact primes inside an integer

PrimeFactor gives the unique exponent form, the expanded factors, successful divisions and an exact multiplication check—entirely in your browser.

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No account · no upload · no floating point · one explicit bound

Three explicit steps

From integer to verified factors

01

Enter one integer

Use unsigned ASCII digits from 2 through the stated upper bound.

02

Divide exactly

Trial division tests 2, 3, then only 6k±1 candidates while candidate squared does not exceed the remainder.

03

Recompose

Multiply every prime power and confirm the product equals the normalized integer.

Focused output

What PrimeFactor does clearly

  • Group repeated prime factors with exact integer exponents.
  • Inspect only the successful divisions that actually removed a factor.
  • Classify a bounded integer as prime or composite with visible evidence.

Reproducible examples

Prime factorizations you can reproduce

Use exact BigInt division, inspect the successful steps, and verify the product locally.
View examples

Exact browser arithmetic

Factor an integer without sending it anywhere

Use exact BigInt division, inspect the successful steps, and verify the product locally.

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