# Factorial Calculator

Calculate n! for a non-negative integer with exact BigInt output, optional steps, and related values such as trailing zeros

> Canonical page: https://elysiatools.com/en/tools/factorial-calculator

- **Category:** Math & Numbers

- **Keywords:** factorial, n!, calculator, math, combinatorics

## Overview

The Factorial Calculator is a precise mathematical utility designed to compute n! for any non-negative integer up to 500. It leverages BigInt processing to deliver exact, unrounded results for massive numbers, while optionally displaying the step-by-step multiplication sequence and calculating related mathematical properties like the number of trailing zeros.

## Inputs

- **Number Input** (number): Enter a non-negative integer such as 10
- **Show Calculation Steps** (checkbox)
- **Include Related Values** (checkbox)

## When to use

- Solving complex combinatorics, permutations, and probability equations.
- Verifying manual calculations for advanced mathematics homework or academic research.
- Determining the exact number of trailing zeros for algorithmic programming challenges.

## How it works

- Enter a non-negative integer between 0 and 500 into the primary number input field.
- Toggle 'Show Calculation Steps' to view the full multiplication sequence.
- Enable 'Include Related Values' to calculate additional properties like trailing zeros.
- View or copy the exact BigInt JSON output without any scientific notation rounding.

## Use cases

- Computer science students checking algorithm outputs for large factorial functions.
- Math teachers generating step-by-step examples for permutation and combination lessons.
- Data scientists and statisticians calculating exact probability distributions.

## Frequently asked questions

### What is the maximum number I can calculate?

You can calculate the factorial for any non-negative integer up to 500.

### Does this tool use scientific notation for large numbers?

No, it uses BigInt to provide the exact, unrounded integer sequence for every calculation, regardless of how large the result is.

### What is the factorial of 0?

The factorial of 0 (0!) is exactly 1, which is a standard mathematical convention.

### What are trailing zeros?

Trailing zeros are the sequence of 0s at the end of a number. Our tool calculates exactly how many trailing zeros exist in the final factorial result.

### Can I see the multiplication steps?

Yes, by enabling the 'Show Calculation Steps' option, the tool will output the full sequence of numbers multiplied together to reach the final result.

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