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 showed by an integer and an exclamation mark. In Mathematics, factorial is a multiplication function 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 find the "n" way items can be organized .

Factorial Formula

To find the factorial of any given number, substitute the exact value for n in the given formulation :

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 receive the factorial of the number.

We can also work 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 :
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

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 48