\(\large 2! = 2\times 1= 2 \) which is even.

\(\large 3! = 3\times2\times1 =6 \) which is even.

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

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

\(\)

**Notation:** \(!\) is the factorial notation. For example, \(8! = 1\times2\times3\times\cdots\times8 \).

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