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 symbol. In arithmetic, factorial is a multiplication operation of natural numbers .

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

Symbolically, it is represented as "!".

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

Factorial Formula

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

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

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

We can also determine 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 :
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

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

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