What is 54 factorial ?

Steps to calculate factorial of 54

How to calculate the factorial of 54

To find 54 factorial, or 54!, simply use the formula that multiplies the number 54 by all positive whole numbers less than it.

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

  54! is exactly : 230843697339241380472092742683027581083278564571807941132288000000000000

  Factorial of 54 can be calculated as:
54! = 54 x 53 x 52 x 51 x ... x 3 x 2 x 1

  The number of trailing zeros in 54! is 12

  The number of digits in 54 factorial is 72.

What Is Factorial?

A factorial is symbolized by an integer and an exclamation mark. In arithmetic, factorial is a multiplication operation of natural numbers .

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

Symbolically, it is showed as "!".

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

Factorial Formula

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

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

The expansion of the formula provides the numbers to be replicated together with each other to get 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 :
54! Factorial = 54 x 53 x 52 x 51 x ... x 3 x 2 x 1 = 54 × 53! = 230843697339241380472092742683027581083278564571807941132288000000000000

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.

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