What is 56 factorial ?

Steps to calculate factorial of 56

How to calculate the factorial of 56

To find 56 factorial, or 56!, simply use the formula that multiplies the number 56 by all positive whole numbers less than it.

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

  56! is exactly : 710998587804863451854045647463724949736497978881168458687447040000000000000

  Factorial of 56 can be calculated as:
56! = 56 x 55 x 54 x 53 x ... x 3 x 2 x 1

  The number of trailing zeros in 56! is 13

  The number of digits in 56 factorial is 75.

What Is Factorial?

A factorial is displayed by an integer and an exclamation mark. In math concepts, factorial is a multiplication treatment of natural numbers .

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

Symbolically, it is listed as "!".

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

Factorial Formula

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

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

The expansion of the formula gives the numbers to be multiplied together with each other to find the factorial of the number.

We can also work out a factorial from the prior one. The factorial of any number is that number multiplied the factorial of (that number minus 1).

So the rule is : n! = n × (n−1)!

Example :
56! Factorial = 56 x 55 x 54 x 53 x ... x 3 x 2 x 1 = 56 × 55! = 710998587804863451854045647463724949736497978881168458687447040000000000000

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 integer 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 56