Factorial of 100 or any whole number “n” is defined as the product of all the numbers less than or equal to “n” up to 1.
For instance, the factorial of 4 is 24 because 4 factorial = 4 x 3 x 2 x 1. The character “!” is used to symbolize the factorial of a number. Therefore, the value of 4! is 24.
Factorials have been seen in multiple historical works from Indian, middle eastern and European regions. But the symbol n! was introduced by a French mathematician named Christian Kramp in 1808.
Numerous topics in mathematics, including number theory, algebra, geometry, probability, statistics, graph theory, and discrete mathematics, are rooted in the study of factorials.
Index
What is the value of 100 factorial?
9.33262e+157
The more precise value of 100 factorial is 9.3326215443944e+157.
What is the Factorial of 100 in voice with the answer?
How do you calculate the factorial of 100?
We take 100 and multiply it by 100 to get the factorial:
100 x 99 x 98 x 97 x 96 x… = 9.3326215443944E+157.
Factorial Chart
10 | 3628800 |
11 | 39916800 |
12 | 479001600 |
13 | 6227020800 |
14 | 87178291200 |
15 | 1307674368000 |
16 | 355687428096000 |
17 | 355687428096000 |
18 | 6402373705728000 |
19 | 121645100408832000 |
20 | 2432902008176640000 |
25 | 1.551121004 x 1025 |
50 | 3.041409320 x 1054 |
70 | 1.197857167 x 10100 |
100 | 9.3326215544 x 10157 |
Formula of Factorial
The factorial is simple to calculate. You should be familiar with its formula for this. The factorial-n formula has been provided below for your study
n!= n x (n-1) x (n-2) x (n-3)… 3 x 2 x 1.
Applications of Factorial
Factorials are widely used in permutations and combinations for example the n choose k formula. Factorials are also used in the binomial theorem. They appear in multiple power series expansions
Problems
1) Prove that 0! is 1.
Solution: Formul to find factorial of n is n!= n x (n-1) … x 1
=> n! = n x (n-1)!
So, if we take 1! it is = 1! x (1-1)!
=> 1= 1.(0!)
=> 1 = 0!
Or which gives 0!= 1.
FAQs
The factorial of a number is denoted by the number followed by ‘!’. Example, the factorial of 8 is denoted by 8!
n! = n × (n – 1) × (n – 2) × … × 1 = n × (n – 1)!
Not defined.