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 showed by an integer and an exclamation tag. 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 symbolized as "!".

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

Factorial Formula

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

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

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

We can also figure out a factorial from the prior 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 :
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

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 value is corresponding to 1. So, 0! = 1.

Other conversions of the number 50