A factorial is a number obtained from multiplying the set of numbers that lead up to that number. In short, the factorial is a Quantity defined for any Integer “n.” greater than or equal to 0. Factorials are used in combinatorics, probabilities, and calculus.

Factorials are encountered in the evaluation of Permutations and combinations and the coefficients of terms of binomial expansions. Factorials have been generalised to include non-integral values.

## Definitions of Factorial

Contents

There are some Definitions of Factorial-

- As the number of possible outcomes of an event.
- The factorial of n is defined as the product of all positive integers.
- The effects of the natural number from 1 to n
- It is the product of its factors.

## What is the Factorial of 100?

The factorial of hundred is given below-

9332621544394415268169923885626670049071596826438162146859296389521759999322991560894146397615651828625369792082722375825118521091686400000000000000000000000

It is the answer to the question What is the factorial of 100. We can not represent it as an exponential and write it as 9.3326215443944E+157 because human brains don’t like big numbers. After a point, the more significant numbers do not precisely mean anything to us. Therefore, In this case, The number of digits of a hundred is 158.

## The formula of Factorial Calculation

Factorial of N = N * (N-1) * (N-2) * (N-3)……..* (N-(N-1)

### The symbol used for denoting factorial is “!.”

For example 6!= 6*5*4*3*2*1=720.

Now using the same formula

Letting n = 100, we get

100! = 100 * (100 – 1) * (100 – 2) * (100 – 3) * … … * 1

= 100 * 99 * 98 * 97 * … … * 1

=9332621544394415268169923885626670049071596826438162146859296389521759999322991560894146397615651828625369792082722375825118521091686400000000000000000000000

## Practical Uses of Factorial

Factorial has many applications in everyday life. Factorials usually are used for statistical analysis, and we can number to indicate how often it happens. Factorials can Range between 1-10.

## For better understanding, we can put some examples:

## Example 1:

There are 12 people in a room. How many different seating arrangements are possible?

Answer:

12! 12 choose 12 12 factorial is 10,368

## Example 2:

How many ways can you arrange the letters in the word “factorial”?

Once you understand that factorial concept, you should quickly answer the question. If you know this answer, please reply in the comments.

## Importance of the Factorial of 100

We can discuss the benefits of factors to calculate the more significant number-

Number of species on Planet Earth 8.7 x 106

Number of Stars in the Milky Way Galaxy 1011

Number of Cells in the Human Body 3.72 x 1014

Number of Atoms on the Earth 1.33 x 1050

Number of particles in the known universe 3.28 x 1080

Approx. Values of Large Values.

### Conclusion

So, we hope you have got what you were looking for. We have explained everything in detail.

Moreover, we have added some additional examples that might help you understand the conversion process. We hope we can answer your question, “What is the factorial of 100?” You can ask any further questions in the comments below.