# What is 16 factorial ?

Steps to calculate factorial of 16

## How to calculate the factorial of 16

To find 16 factorial, or 16!, simply use the formula that multiplies the number 16 by all positive whole numbers less than it.

Let's look at how to calculate the Factorial of Sixteen :

16! is exactly : 20922789888000

Factorial of 16 can be calculated as:
16! = 16 x 15 x 14 x 13 x ... x 3 x 2 x 1

The number of trailing zeros in 16! is 3

The number of digits in 16 factorial is 14.

## What Is Factorial?

A factorial is showed by an integer and an exclamation mark. In math concepts, factorial is a multiplication function of natural numbers .

It multiplies the number by every organic number that is less than it .

Symbolically, it is displayed as "!".

The function is used, among other things, to get the "n" way items can be established .

## Factorial Formula

To find the factorial of any given number, change the value for n in the given formulation :

n! = n × (n-1) × (n-2) × (n-3) × ….× 3 × 2 × 1

The expansion of the formula provides numbers to be replicated collectively to have the factorial of the number.

We can also work out a factorial from the previous one. The factorial of any number is that number times the factorial of (that number minus 1).

So the rule is : n! = n × (n−1)!

Example :
16! Factorial = 16 x 15 x 14 x 13 x ... x 3 x 2 x 1 = 16 × 15! = 20922789888000

## What are Factorials Used For?

The best use of factorial is in Combinations and Permutations.

Example : Determine how to arrange letters without repeating?

There one way for 1 letter "a":
2 ways for two letters "ab": ab, ba.
There are 6 ways for 3 letters "abc": abc acb cab bac bca.
There are 24 ways for 1234 of the letters "abcd"

## Frequently Asked Questions on Factorial

### Can we have factorials for negative numbers ?

Negative number factorials are undefined

### What Is 0!

Zero factorial or Factorial of 0 is simple, and its own value is equal to 1. So, 0! = 1.