# What if $$n>1$$ ?

$$\large 2! = 2\times 1= 2$$ 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, $$8! = 1\times2\times3\times\cdots\times8$$.

×