What is 0 factorial ?

Steps to calculate factorial of 0

How to calculate the factorial of 0

To find 0 factorial, or 0!, simply use the formula that multiplies the number 0 by all positive whole numbers less than it.

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

  0! is exactly : 1

  The number of trailing zeros in 0! is 0

  The number of digits in 0 factorial is 1.

What Is Factorial?

A factorial is displayed by an integer and an exclamation mark. In Mathematics, factorial is a multiplication treatment of natural numbers .

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

Symbolically, it is represented as "!".

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

Factorial Formula

To find the factorial of any given number, substitute the exact value for n in the given rule :

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

The expansion of the formula provides the numbers to be multiplied with each other to get the factorial of the number.

We can also figure out a factorial from the previous 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 :
0! Factorial = = 0 × -1! = 1

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

1) Can we have factorials for negative numbers ?
  Negative integer factorials are undefined

2) 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 0