what is factorial define it quickly
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Selected members of the factorial sequence(sequence A000142 in the OEIS); values specified in scientific notation are rounded to the displayed precisionnn!0111223642451206720750408403209362880103628800113991680012479001600136227020800148717829120015130767436800016209227898880001735568742809600018640237370572800019121645100408832000202432902008176640000251.551121004×1025503.041409320×1064701.197857167×101001009.332621544×101574501.733368733×10100010004.023872601×10256732496.412337688×1010000100002.846259681×1035659252061.205703438×101000001000002.824229408×104565732050232.503898932×10100000410000008.263931688×105565708101001010101.9981097754820
In mathematics, the factorial of a positive integer n, denoted by n!, is the product of all positive integers less than or equal to n:
{\displaystyle n!=n\times (n-1)\times (n-2)\times (n-3)\times \cdots \times 3\times 2\times 1\,.}
For example,
{\displaystyle 5!=5\times 4\times 3\times 2\times 1=120\,.}
The value of 0! is 1, according to the convention for an empty product.[1]
The factorial operation is encountered in many areas of mathematics, notably in combinatorics, algebra, and mathematical analysis. Its most basic use counts the possible distinct sequences – the permutations – of n distinct objects: there are n!.
The factorial function can also be extended to non-integer arguments while retaining its most important properties by defining x! = Γ(x + 1), where Γ is the gamma function; this is undefined when x is a negative integer