Calculate the factorial (\(n!\)) of any positive integer, view the step-by-step multiplication formula, and understand properties.
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The factorial of a positive integer \(n\), denoted by \(n!\), is the product of all positive integers less than or equal to \(n\). E.g. the factorial of **5** is:
\(5! = 5 \times 4 \times 3 \times 2 \times 1 = 120\)
By mathematical definition and convention, the factorial of **0** is equal to **1** (\(0! = 1\)). Factorials grow extremely fast (for example, \(170!\) contains 307 digits). In standard JavaScript, values above \(170!\) will exceed double-precision floating-point limits and return as **Infinity**.