Use the factorial calculator below to find the factorial of any real number between 0 and 10,000.
What is factorial?
Definition of factorial
The factorial is a quantity defined any all integer x greater than or equal to 0.
The factorial is the product of all integers less than or equal to x but greater than or equal to 1. The factorial value of 0 is by definition equal to 1. For negative integers, factorials are not defined. The factorial can be seen as the result of multiplying a sequence of descending natural numbers (such as 3 × 2 × 1). The factorial symbol is the exclamation mark !.
The factorial formula
If n is an natural number greater than or equal to 1, then
n! = n x (n - 1) x (n - 2) x (n - 3) ... 3 x 2 x 1
If p = 0, then p! = 1 by convention.
Example: 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720
Table of Factorials until 30
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
21
51090942171709440000
22
1124000727777607680000
23
25852016738884976640000
24
620448401733239439360000
25
15511210043330985984000000
26
403291461126605635584000000
27
10888869450418352160768000000
28
304888344611713860501504000000
29
8841761993739701954543616000000
30
265252859812191058636308480000000
Factorial Calculator
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