What is 50 factorial ?

Steps to calculate factorial of 50

How to calculate the factorial of 50

To find 50 factorial, or 50!, simply use the formula that multiplies the number 50 by all positive whole numbers less than it.

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

  50! is exactly : 30414093201713378043612608166064768844377641568960512000000000000

  Factorial of 50 can be calculated as:
50! = 50 x 49 x 48 x 47 x ... x 3 x 2 x 1

  The number of trailing zeros in 50! is 12

  The number of digits in 50 factorial is 65.

What Is Factorial?

A factorial is represented by an integer and an exclamation tag. In arithmetic, factorial is a multiplication treatment of natural numbers .

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

Symbolically, it is displayed as "!".

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

Factorial Formula

To find the factorial of any given number, alternate the exact 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 multiplied at the same time to get the factorial of the number.

We can also work 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 :
50! Factorial = 50 x 49 x 48 x 47 x ... x 3 x 2 x 1 = 50 × 49! = 30414093201713378043612608166064768844377641568960512000000000000

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 50