What is 48 factorial ?

Steps to calculate factorial of 48

How to calculate the factorial of 48

To find 48 factorial, or 48!, simply use the formula that multiplies the number 48 by all positive whole numbers less than it.

Let's look at how to calculate the Factorial of Forty-eight :

  48! is exactly : 12413915592536072670862289047373375038521486354677760000000000

  Factorial of 48 can be calculated as:
48! = 48 x 47 x 46 x 45 x ... x 3 x 2 x 1

  The number of trailing zeros in 48! is 11

  The number of digits in 48 factorial is 62.

What Is Factorial?

A factorial is displayed by an integer and an exclamation tag. In arithmetic, factorial is a multiplication process of natural numbers .

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

Symbolically, it is showed as "!".

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

Factorial Formula

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

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

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

We can also work 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 :
48! Factorial = 48 x 47 x 46 x 45 x ... x 3 x 2 x 1 = 48 × 47! = 12413915592536072670862289047373375038521486354677760000000000

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 number factorials are undefined

2) 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 48