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 displayed by an integer and an exclamation symbol. In Mathematics, factorial is a multiplication operation of natural numbers .

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

Symbolically, it is displayed as "!".

The function is used, among other things, to find the "n" way elements can be structured .

Factorial Formula

To find the factorial of any given number, exchange the value for n in the given method :

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

The expansion of the formula shows the numbers to be multiplied to each other to receive the factorial of the number.

We can also measure a factorial from the prior one. The factorial of any number is that number replicated 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 integer factorials are undefined

What Is 0!

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

Other conversions of the number 16