What is 59 factorial ?

Steps to calculate factorial of 59

How to calculate the factorial of 59

To find 59 factorial, or 59!, simply use the formula that multiplies the number 59 by all positive whole numbers less than it.

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

  59! is exactly : 138683118545689835737939019720389406345902876772687432540821294940160000000000000

  Factorial of 59 can be calculated as:
59! = 59 x 58 x 57 x 56 x ... x 3 x 2 x 1

  The number of trailing zeros in 59! is 14

  The number of digits in 59 factorial is 81.

What Is Factorial?

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

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

Symbolically, it is represented as "!".

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

Factorial Formula

To find the factorial of any given number, alternate the exact value for n in the given equation :

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

The expansion of the formula gives the numbers to be replicated together to find the factorial of the number.

We can also calculate 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 :
59! Factorial = 59 x 58 x 57 x 56 x ... x 3 x 2 x 1 = 59 × 58! = 138683118545689835737939019720389406345902876772687432540821294940160000000000000

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 equal to 1. So, 0! = 1.

Other conversions of the number 59