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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