Prime factorization calculator

Break a whole number into its prime factors.

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Prime factorization calculator processes your input in this browser. Inputs and results are excluded from analytics. Recent tools save tool names, visit counts and last-visit times. Saved tools store only their names. Draft saving is optional and stays on this device; delete saved text with the draft controls. Loading text from a URL is optional and contacts that server; its URL and your IP address are visible to the server. An optional “Use in” action keeps a handoff in this tab. The next tool removes it on arrival and ignores it if more than a minute has passed.

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Whole number

Answer

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Divide by successive prime factors until the remaining quotient has no smaller factor. Repeated factors are written as powers.

More results

Precision and calculation record

Decimal places in numeric results and text downloads

Rounding changes displayed numbers, not the calculation. Text, fractions, matrices and CSV schedules keep their own formatting. Automatic keeps up to 12 significant digits, with money shown to cents where applicable.

Saved scenario

Save the current answer, then change an input to compare. This clears when you leave.

Formula and assumptions

Enter a whole number from 2 to 1,000,000,000,000. The range bounds the trial-division work so the calculation stays local and responsive.

Automatic precision shows numbers to 12 significant digits. Thousands separators such as 1,000 are accepted; use a dot for decimals.

Scratch calculator

Check another calculation

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Updated 2026-09-26

Using Prime factorization calculator

Divide by successive prime factors until the remaining quotient has no smaller factor. Repeated factors are written as powers.

Enter a whole number from 2 to 1,000,000,000,000. The range bounds the trial-division work so the calculation stays local and responsive.

Next: Calculate GCF

A worked example

With whole number = 360, the prime factorization is 2^3 × 3^2 × 5.

Next: Modulo calculator

Before you use the result

Enter a whole number from 2 to 1,000,000,000,000. The range bounds the trial-division work so the calculation stays local and responsive.

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