What is 10 factorial ?

Steps to calculate factorial of 10

How to calculate the factorial of 10

To find 10 factorial, or 10!, simply use the formula that multiplies the number 10 by all positive whole numbers less than it.

Let's look at how to calculate the Factorial of Ten :

  10! is exactly : 3628800

  Factorial of 10 can be calculated as:
10! = 10 x 9 x 8 x 7 x ... x 3 x 2 x 1

  The number of trailing zeros in 10! is 2

  The number of digits in 10 factorial is 7.

What Is Factorial?

A factorial is symbolized by an integer and an exclamation mark. In arithmetic, factorial is a multiplication procedure 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 get the "n" way things can be organized .

Factorial Formula

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

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

The expansion of the formula provides numbers to be multiplied collectively to get the factorial of the number.

We can also calculate 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 :
10! Factorial = 10 x 9 x 8 x 7 x ... x 3 x 2 x 1 = 10 × 9! = 3628800

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

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