What is 98 factorial ?

Steps to calculate factorial of 98

How to calculate the factorial of 98

To find 98 factorial, or 98!, simply use the formula that multiplies the number 98 by all positive whole numbers less than it.

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

  98! is exactly : 9426890448883247745626185743057242473809693764078951663494238777294707070023223798882976159207729119823605850588608460429412647567360000000000000000000000

  Factorial of 98 can be calculated as:
98! = 98 x 97 x 96 x 95 x ... x 3 x 2 x 1

  The number of trailing zeros in 98! is 23

  The number of digits in 98 factorial is 154.

What Is Factorial?

A factorial is showed by an integer and an exclamation tag. In math concepts, factorial is a multiplication procedure of natural numbers .

It multiplies the number by every organic 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 arranged .

Factorial Formula

To find the factorial of any given number, exchange 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 shows the numbers to be multiplied with each other to find the factorial of the number.

We can also work out a factorial from the previous one. The factorial of any number is that number multiplied the factorial of (that number minus 1).

So the rule is : n! = n × (n−1)!

Example :
98! Factorial = 98 x 97 x 96 x 95 x ... x 3 x 2 x 1 = 98 × 97! = 9426890448883247745626185743057242473809693764078951663494238777294707070023223798882976159207729119823605850588608460429412647567360000000000000000000000

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 98