What if n>1n>1 ?

2!=2×1=2\large 2! = 2\times 1= 2 which is even.

3!=3×2×1=6\large 3! = 3\times2\times1 =6 which is even.

4!=4×3×2×1=24\large 4! = 4\times 3\times 2 \times 1 = 24 which is even.

Is it true that n!n! is always even for n>1n >1?


Notation: !! is the factorial notation. For example, 8!=1×2×3××88! = 1\times2\times3\times\cdots\times8 .

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