What is 57 factorial ?

Steps to calculate factorial of 57

How to calculate the factorial of 57

To find 57 factorial, or 57!, simply use the formula that multiplies the number 57 by all positive whole numbers less than it.

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

  57! is exactly : 40526919504877216755680601905432322134980384796226602145184481280000000000000

  Factorial of 57 can be calculated as:
57! = 57 x 56 x 55 x 54 x ... x 3 x 2 x 1

  The number of trailing zeros in 57! is 13

  The number of digits in 57 factorial is 77.

What Is Factorial?

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

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

Symbolically, it is listed as "!".

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

Factorial Formula

To find the factorial of any given number, replace 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 to each other to obtain the factorial of the number.

We can also work out a factorial from the previous 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 :
57! Factorial = 57 x 56 x 55 x 54 x ... x 3 x 2 x 1 = 57 × 56! = 40526919504877216755680601905432322134980384796226602145184481280000000000000

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 number factorials are undefined

What Is 0!

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

Other conversions of the number 57