factorial
Sign in to save{| class="wikitable" style="margin:0 0 0 1em; text-align:right; float:right;" |+ Selected factorials; values in scientific notation are rounded |- ! n ! n! |- | 0 || 1 |- | 1 || 1 |- | 2 || 2 |- | 3 || 6 |- | 4 || 24 |- | 5 || 120 |- | 6 || 720 |- | 7 || |- | 8 || |- | 9 || |- | 10 || |- | 11 || |- | 12 || |- | 13 || |- | 14 || |- | 15 || |- | 16 || |- | 17 || |- | 18 || |- | 19 || |- | 20 || |- | 25 | style="text-align:left" | |- | 50 | style="text-align:left" | |- | 52 | style="text-align:left" | |- | 70 | style="text-align:left" | |- | 100 | style="text-align:left" |
AI overview
A factorial is a mathematical operation where you multiply a number by every positive whole number below it—for example, 5 factorial (written as 5!) equals 5 × 4 × 3 × 2 × 1, which equals 120. Factorials grow very rapidly and are useful in mathematics for counting arrangements and combinations of objects.
AI-generated from the Wikipedia summary — may contain errors.
Article
12 sectionsContents
- History
- Definition
- Factorial of zero
- Applications
- Properties
- Growth and approximation
- Divisibility and digits
- Continuous interpolation and non-integer generalization
- Computation
- Related sequences and functions
- References
- External links
{| class="wikitable" style="margin:0 0 0 1em; text-align:right; float:right;" |+ Selected factorials; values in scientific notation are rounded |- ! n ! n! |- | 0 || 1 |- | 1 || 1 |- | 2 || 2 |- | 3 || 6 |- | 4 || 24 |- | 5 || 120 |- | 6 || 720 |- | 7 || |- | 8 || |- | 9 || |- | 10 || |- | 11 || |- | 12 || |- | 13 || |- | 14 || |- | 15 || |- | 16 || |- | 17 || |- | 18 || |- | 19 || |- | 20 || |- | 25 | style="text-align:left" | |- | 50 | style="text-align:left" | |- | 52 | style="text-align:left" | |- | 70 | style="text-align:left" | |- | 100 | style="text-align:left" | |- | 450 | style="text-align:left" | |- | | style="text-align:left" | |- | | style="text-align:left" | |- | | style="text-align:left" | |- | | style="text-align:left" | |- | | style="text-align:left" | |- | | style="text-align:left" | |- | | style="text-align:right" | 10 |- | || 10 |- | || 10 |- | || 10 |- | googol| || 10 |- | || 10 |}
In mathematics, the factorial of a non-negative denoted is the product of all positive integers less than or equal The factorial also equals the product of n with the next smaller factorial: