The factorial of hundred is equal to 9.332622e+157. In this article, we explain what is factorial of hundred and how to calculate the factorial of hundred. We also provide you factorials of first thirty numbers.
What is the Factorial of Hundred and how is it calculated?
A factorial is represented by an exclamation mark (!) inserted after the digit whose factorial is to be calculated.
The Factorial of Hundred is calculated in the following way
100! = 100 X 99 X 98 X 97…3 X 2 X 1
After multiplying, we get
=93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000
= 9.332622e+157
What is a Factorial?
A factorial is a number obtained by multiplying all the numbers from 1 to that number. For example,
4! = 4 X 3 X 2 X 1
Hence
4! = 24
Hence, if we generalize the formula
n! = n X (n-1) X (n-2) X (n-3) …… 3 X 2 X 1
Hence,
n! = n.(n-1).(n-2).(n-3)………………..3.2.1
The origins of factorial are attributed to ancient Indian Mathematics. However, much of the function regarding factorial was developed only in the 18th and 19th centuries AD.
Here are some important facts to know about factorial
- Factorial of all positive real numbers except 0 and 1 is are even number
- The Factorial of 0 is equal to 1
- The factorial of a positive real number cannot be negative
- Factorials of numbers are extensively used in Permutation and Combinations, and Probability.
- The factorial of a number is always equal to the number multiplied by factorial of 1 less the number. It is demonstrated as follows
n! = n.(n-1).(n-2).(n-3)…………..3.2.1
n! = n.[(n-1).(n-2).(n-3)…………..3.2.1]
n! = n.(n-1)!
So, for example, factorial of hundred is equal to hundred times factorial of 99
100! = 100 . 99!
Factorials of first Thirty numbers
Here, we list down the factorials of first thirty numbers
| Number (n) | Factorial of the number (n!) |
| 1 | 1 |
| 2 | 2 |
| 3 | 6 |
| 4 | 24 |
| 5 | 120 |
| 6 | 720 |
| 7 | 5040 |
| 8 | 40,320 |
| 9 | 362,880 |
| 10 | 3,628,800 |
| 11 | 39,916,800 |
| 12 | 479,001,600 |
| 13 | 6,227,020,800 |
| 14 | 8,717,8291,200 |
| 15 | 1,307,674,368,000 |
| 16 | 20,922,789,888,000 |
| 17 | 355,687,428,096,000 |
| 18 | 6,402,373,705,728,000 |
| 19 | 121,645,100,408,832,000 |
| 20 | 2,432,902,008,176,640,000 |
| 21 | 51,090,942,171,709,440,000 |
| 22 | 1,124,000,727,777,607,680,000 |
| 23 | 25,852,016,738,884,976,640,000 |
| 24 | 620,448,401,733,239,439,360,000 |
| 25 | 15,511,210,043,330,985,984,000,000 |
| 26 | 403,291,461,126,605,635,584,000,000 |
| 27 | 10,888,869,450,418,352,160,768,000,000 |
| 28 | 304,888,344,611,713,860,501,504,000,000 |
| 29 | 8,841,761,993,739,701,954,543,616,000,000 |
| 30 | 265,252,859,812,191,058,636,308,480,000,000 |
Frequently Asked Questions (FAQs) about factorial of hundred
Question 1) What is a factorial of hundred?
Answer) The factorial of hundred is 9.332622e+157
Question 2) Where are factorials used?
Answer) Factorials of numbers are used in Permutation and Combinations, and Probability.
Question 3) How is the factorial of 0 calculated?
Answer) The factorial of zero is calculated in the following way:
n! = (n+1)! / (n+1)
0! = 1! / 1
Hence
0! = 1 / 1
= 1
That’s It
This was the article regarding the factorial of hundred. We hope that it might have solved your query and that it might have explained well how to evaluate the factorial of hundred. Please share this article with your friends and people who might want to know what is the factorial of hundred.
If you are interested in maths, please check out our article on a2 b2 formula with questions and answers
