# Get Complete Explanation for Factorial of Hundred

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### What is Factorial?

In mathematics, the factorial of all integers less than or equal to n numbers but greater than or equal or equal to 1. The factorial value of 0 or 0! = 1 but negative integer number not defined factorials. The factorial can be multiplying a sequence of descending numbers as 3! = 3*2*1

Symbol of factorial is !

Factorial Formula: Factorial of n natural number is greater than or equal to 1 Like,

n!= n*(n-1)*(n-2)*(n-3)........3*2*1

If n=0         , then n! =1, because 0! =1

For example: 5! =5*4*3*2*1= 120

### Table of factorials:

Here, the table of factorials numbers from 1 to 20.

 n       n! 1  =   1 2  =   2 3  =   6 4  =   24 5  =   120 6  =   720 7  =   5040 8  =   40320 9  =   362880 10 =  3628800 11 =  39916800 12 =  479001600 13 =  6227020800 14 =  87178291200 15 =  1307674368000 16 =  20922789888000 17 =  355687428096000 18 =  6402373705728000 19 =  121645100408832000 20 =  2432902008176640000 30   =   2.6525285981219E+32 40  =    8.159152832479E+47 50  =    3.0414093201713E+64 60  =    8.3209871127414E+81 70  =    1.197857166997E+100 80   =   7.1569457046264E+118 90   =   1.4857159644818E+138

### What is the Factorial of Hundred?

Step by step explanation of how to calculate the factorial 100:

Firstly, we see there are more than five whole numbers in the number hundred. And our factorial formula is:

n!- n*(n-1)*(n-2)*(n-3).....3*2*1

then 100!= 100 × 99 × 98 × .... × 3 × 2 × 1 = 9.332621544 E+157.

100!= 9.332621544 E+157.

### What is The Factorial of Negative Numbers?

Can we have factorial of negative numbers like -1, -2, -3 etc?

3! = 3*2*1=6

2! = 3! / 3 = 6/3 = 2

1! = 2! / 2 = 2/2 = 1

0! = 1! / 1 = 1/1 = 1

(-1)! = 0! / 0 = 1/0 = dividing by zero is undefined. So we can say negative number factorial is undefined.

### Uses of Factorial:

Factorials are mainly used in permutations & combinations.

Permutation: Permutation is an ordered arrangement of outcomes. We use below formula to solve problems of permutation

nPr = n! / (n - r)!

Combination: Combination is a grouping of outcomes and order does not matter. We use below formula for solve the problem of combination

nCr = n! / [ (n - r)! r!]

In both formula:

n= Total number

r= Chosen number

#### FAQs:

What is factorial of 100?

Ans. According to our calculations factorial of 100 is 9.3326215443944E+157.

How many zeros are there in 100 factorial?

Ans. 24 zero in factorial of 100

What is factorial of 99?

Ans. 99!= 933262154439441526816992388562667004907159682643816214685929638952175999932299156089414639761565182862536979208272237582511852109168640000000000000000000000

And approximate value of 99!= 9.3326215443944E+155.

How many zeros are there in 99 factorial?

Ans. 22 Zero on 99!

What is factorial of 200?

Ans. 200!= 788657867364790503552363213932185062295135977687173263294742533244359449963403342920304284011984623904177212138919638830257642790242637105061926624952829931113462857270763317237396988943922445621451664240254033291864131227428294853277524242407573903240321257405579568660226031904170324062351700858796178922222789623703897374720000000000000000000000000000000000000000000000000

How many zeros are there in 200 factorial?

Ans. 49 Zero on 200!