Factorial Calculator
Compute the factorial n! of a non-negative integer, the product of every whole number from 1 up to n. Enter n and the tool returns the exact product.
What this calculator does
The Factorial Calculator estimates your result instantly from the values you enter, using standard math & conversions formulas. Compute the factorial n! of a non-negative integer, the product of every whole number from 1 up to n. Enter n and the tool returns the exact product. Calculations run in your browser, so nothing you type is sent to a server, and the output is an estimate rather than a certified or official figure.
Result
About Factorial Calculator
The factorial of a whole number n, written n!, is the product of every integer from 1 up to n, with 0! defined as 1. Enter a non-negative integer and this tool multiplies the chain for you.
For n up to 18 the exact integer is shown; larger values switch to scientific notation, and the tool accepts n up to 170 before the number would overflow.
Formula & Mathematical Calculation
n! = f(n)
Calculated according to standard math formulas implemented in the calculator core.
Calculation Example
Enter n = 10 and press Calculate. The tool multiplies 1 × 2 × 3 × … × 10 and shows n! = 3628800. The summary reads: "10! = 3628800."
Key Benefits
- Multiplies the full 1-to-n chain instantly, avoiding a long manual product.
- Shows exact integers through n=18 and switches to scientific notation for larger n.
- Guards against invalid input, rejecting negatives and values above 170. Free and needs no sign-up.
How to Use this Calculator
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Enter n
Type a non-negative whole number into the n field, for example 10. -
Calculate
Press Calculate to multiply every integer from 1 up to n. -
Read n!
The n! box shows the factorial, as an exact integer or in scientific notation for large values.
Assumptions & Limitations
What the calculation assumes
- Every value you enter is treated as an exact, known amount.
- Any rate or interval you enter is assumed to hold for the whole period unless the form asks for it separately.
- Results use standard published formulas and account only for the values entered above.
- Rounding is applied for display; the underlying calculation uses your full precision.
- Results are returned in the same units you enter, unless the tool states the output unit.
What it does not cover
- Factorial Calculator produces a calculated result for reference and learning, not a certified or official measurement.
- Real-world outcomes differ when tolerances, rounding rules or local standards apply.
- Definitions and standards vary by region and change over time; verify the convention that applies to your case.
- Figures are only as accurate as the inputs you supply — check them before acting on the result.
- For work where the result carries real consequences, confirm it against an authoritative source.
Frequently Asked Questions
Free to use, no account needed. Calculations run in your browser, so nothing you type is sent to a server. Results are estimates — how we build and check our calculators.