What is 49 factorial ?

Steps to calculate factorial of 49

How to calculate the factorial of 49

To find 49 factorial, or 49!, simply use the formula that multiplies the number 49 by all positive whole numbers less than it.

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

  49! is exactly : 608281864034267560872252163321295376887552831379210240000000000

  Factorial of 49 can be calculated as:
49! = 49 x 48 x 47 x 46 x ... x 3 x 2 x 1

  The number of trailing zeros in 49! is 11

  The number of digits in 49 factorial is 63.

What Is Factorial?

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

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

Symbolically, it is listed as "!".

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

Factorial Formula

To find the factorial of any given number, alternate the exact value for n in the given equation :

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 get the factorial of the number.

We can also figure out a factorial from the prior 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 :
49! Factorial = 49 x 48 x 47 x 46 x ... x 3 x 2 x 1 = 49 × 48! = 608281864034267560872252163321295376887552831379210240000000000

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.

Other conversions of the number 49