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No! Though this depends on definition.

Usually we define n! = n(n-1)....3.2.1, which is only sensible when n is a whole number.

However, we can also define

n! = int(0, infinity, xne-x, x)

(the integral of xne-xdx from 0 to infinity)

This actually gives us all the same results as the usual definition, but also allows us to calculate for non-integer values of n.

For example

1.5! = 1.3293...

6.7! = 2769.83036...

-0.8! = 4.5908...

0! = 1

Interestingly with this definition, all negative whole numbers have an undefined (infinite) factorial value.

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Q: Does factorial only work for whole numbers?
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