Prime Factorization Calculator

Prime Factorization Calculator lets you repeated division decomposes a positive integer into prime powers. Enter your own values or load the worked example.

Method and calculation

Repeated division decomposes a positive integer into prime powers.

Inputs and settings

Prime Factorization Calculator accepts Positive integer (minimum 2, maximum 1000000000000).

Worked example

Prime Factorization Calculator example — Positive integer: 360. Computed output: { "2": 3, "3": 2, "5": 1 }

Output and limitations

Prime Factorization Calculator: Use finite inputs. Results use double-precision arithmetic.

Technical references: JavaScript numerical operations

Prime Factorization Calculator FAQs

Prime Factorization Calculator applies the following rule to your input: Repeated division decomposes a positive integer into prime powers. The worked example on this page uses the same processor as the result button.
Prime Factorization Calculator has these boundaries: Use finite inputs. Results use double-precision arithmetic. Start by checking the positive integer field against the units or format shown.
Prime Factorization Calculator provides this sample: { "2": 3, "3": 2, "5": 1 }. Use the sample button to reproduce it, then replace the inputs with your own values.