What is 52 factorial ?

Steps to calculate factorial of 52

How to calculate the factorial of 52

To find 52 factorial, or 52!, simply use the formula that multiplies the number 52 by all positive whole numbers less than it.

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

  52! is exactly : 80658175170943878571660636856403766975289505440883277824000000000000

  Factorial of 52 can be calculated as:
52! = 52 x 51 x 50 x 49 x ... x 3 x 2 x 1

  The number of trailing zeros in 52! is 12

  The number of digits in 52 factorial is 68.

What Is Factorial?

A factorial is displayed by an integer and an exclamation symbol. 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 listed as "!".

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

Factorial Formula

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

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

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

We can also figure 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 :
52! Factorial = 52 x 51 x 50 x 49 x ... x 3 x 2 x 1 = 52 × 51! = 80658175170943878571660636856403766975289505440883277824000000000000

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 corresponding to 1. So, 0! = 1.

Other conversions of the number 52