The factorial of an number "n!" is nothing more than the successive multiplication of all numbers in the range n to 1. The factor is calculated using integer and positive numbers, the factor of 0 is equal to 1 (0! = 1) and the factor of 1 is equal to 1 (1! = 1).
Enter a value between 0 and 500 for the factorial calculation:
The factorial formula is represented by:
n! = n * (n – 1) * (n – 2) * (n – 3) ... 2 * 1
See below the 7 factorial example:
7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5040
Factor numbers can also be represented in the following ways:
7!
or
7 * 6 * 5 * 4!;
or
7 * 6 * 5 * 4 * 3!;
or
7 * 6 * 5 * 4 * 3 * 2!;
or
7 * 6 * 5 * 4 * 3 * 2 * 1!;
or
7 * 6 * 5 * 4 * 3 * 2 * 1;
Factorial | Result |
---|---|
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! | 87178297200 |
15! | 1307674368000 |
16! | 20922789888000 |
17! | 355687428096000 |
18! | 6402373705728000 |
19! | 121645100408832000 |
20! | 2432902008176640000 |
21! | 51090942171709440000 |
22! | 1124000727777607680000 |
23! | 25852016738884976640000 |
24! | 620448401733239439360000 |
25! | 15511210043330985984000000 |
To calculate the sum, first solve each factorial and then do the addition operation.
Correct:
a)
Incorrect:
b)
To calculate the subtraction, first solve each factorial and then do the decrement operation.
Correct:
a)
Incorrect:
b)
To calculate the multiplication, first solve each factorial and then solve the operation.
Correct:
a)
Incorrect:
b)
To calculate the division, unlike other operations you can simplify the factorials, just pay attention to the rule that a factorial can only be simplified by one equal to itself.
Correct:
a)
Incorrect:
b)
Use our Factorial Calculator tool to get the following results: