What is 53 factorial ?

Steps to calculate factorial of 53

How to calculate the factorial of 53

To find 53 factorial, or 53!, simply use the formula that multiplies the number 53 by all positive whole numbers less than it.

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

  53! is exactly : 4274883284060025564298013753389399649690343788366813724672000000000000

  Factorial of 53 can be calculated as:
53! = 53 x 52 x 51 x 50 x ... x 3 x 2 x 1

  The number of trailing zeros in 53! is 12

  The number of digits in 53 factorial is 70.

What Is Factorial?

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

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

Symbolically, it is represented as "!".

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

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 shows the numbers to be multiplied to each other to get the factorial of the number.

We can also figure out a factorial from the previous 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 :
53! Factorial = 53 x 52 x 51 x 50 x ... x 3 x 2 x 1 = 53 × 52! = 4274883284060025564298013753389399649690343788366813724672000000000000

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

Other conversions of the number 53