Factorial as Product of Consecutive Factorials/Mistake

Source Work

 * The Dictionary
 * $3,628,800$
 * $3,628,800$


 * The Dictionary
 * $3,628,800$
 * $3,628,800$

Mistake

 * ... the only factorial that is the product of other consecutive factorials apart from the trivial $1! = 0! \times 1!$, $2! = 0! \times 1! \times 2!$ and $1! \times 2! = 2!$.

The author missed the other obvious trivial example: $0! = 0! \times 1!$.