The factorial of 100, written as 100!, is the product of all positive integers from 1 to 100. In mathematical terms: 100!=100×99×98×…×2×1
100! = 100 \times 99 \times 98 \times \….. \times 2 \times 1
100!=100×99×98×…×2×1
This number is extremely large and cannot be written out in full easily due to its length. In fact:
100! = 9.332621544394415268169923885626670049071596826438162146859296389… × 10¹⁵⁷
(That’s over 157 digits long!)
Why is Factorial Important?
Factorials are widely used in:
Combinatorics (e.g., permutations and combinations)
Probability and statistics
Mathematical analysis
Computer science algorithms
Table of Factorials (1! to 20!)
To better understand how factorials grow, here’s a table from 1! to 20!:
| n | n! (Factorial) |
| 1 | 1 |
| 2 | 2 |
| 3 | 6 |
| 4 | 24 |
| 5 | 120 |
| 6 | 720 |
| 7 | 5,040 |
| 8 | 40,320 |
| 9 | 362,880 |
| 10 | 3,628,800 |
| 11 | 39,916,800 |
| 12 | 479,001,600 |
| 13 | 6,227,020,800 |
| 14 | 87,178,291,200 |
| 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 |
Also Read:
How Do I Convert 1 Cent to Square Feet?
How to write Roman numbers 1 to 100?
75 degrees fahrenheit to celsius
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