Factorial Calculator
Enter a non-negative integer to calculate its factorial.
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Calculation Steps
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Mathematical Explanation
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The factorial of a non-negative integer $n$, denoted by $n!$, is the product of all positive integers less than or equal to $n$.
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Formula: $n! = n \\times (n-1) \\times (n-2) \\times \\cdots \\times 2 \\times 1$
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Special case: $0! = 1$
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Practical Example
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Example: Calculate the factorial of 4 (4!)
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4! = 4 × 3 × 2 × 1 = 24
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How to Use This Calculator
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- Enter a non-negative integer in the input field.
- Click \”Calculate\” to see the result.
- View the steps and formula explanation below.
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Common Misconceptions
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- Factorials are only defined for non-negative integers.
- Factorials grow very rapidly, so results can become very large.
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Frequently Asked Questions
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What is a factorial?
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The factorial of a non-negative integer $n$ is the product of all positive integers less than or equal to $n$.
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Is 0! defined?
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Yes, 0! is defined as 1.
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Can I calculate factorials for negative numbers?
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No, factorials are only defined for non-negative integers.
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How large do factorials get?
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Factorials grow very quickly. For example, 10! is 3,628,800.
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Related Tools
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\n\nFactorial Calculator
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Enter a non-negative integer to calculate its factorial.
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Calculation Steps
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| Step | n | Calculation |
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Mathematical Explanation
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The factorial of a non-negative integer $n$, denoted by $n!$, is the product of all positive integers less than or equal to $n$.
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