# What is 25 factorial ?

Steps to calculate factorial of 25

## How to calculate the factorial of 25

To find 25 factorial, or 25!, simply use the formula that multiplies the number 25 by all positive whole numbers less than it.

Let's look at how to calculate the Factorial of Twenty-five :

25! is exactly : 15511210043330985984000000

Factorial of 25 can be calculated as:
25! = 25 x 24 x 23 x 22 x ... x 3 x 2 x 1

The number of trailing zeros in 25! is 6

The number of digits in 25 factorial is 26.

## What Is Factorial?

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

It multiplies the number by every standard 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, replace the value for n in the given rule :

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

The expansion of the formula gives the numbers to be replicated to each other to obtain the factorial of the number.

We can also measure 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 :
25! Factorial = 25 x 24 x 23 x 22 x ... x 3 x 2 x 1 = 25 × 24! = 15511210043330985984000000

## 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.