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?
Firstly
we start with
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!