# Factorial

## Definition

Let  be a nonnegative integer. The factorial of , denoted , and read as n factorial, is defined as the product of all the natural numbers from  to . Note that  is defined as .

 is also the order of the symmetric group, or the group of all permutations, on a set of size .

## Behavior

### Initial values

The initial values of  for  are given as: 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, [SHOW MORE] View list on OEIS