Factorial Calculator

What is factorial?

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:

Value:

Compute

Factorial Formula

The factorial formula is represented by:

n! = n * (n – 1) * (n – 2) * (n – 3) ... 2 * 1

Factorial Examples

See below the 7 factorial example:

7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5040

Factorial Representations

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;

Operations with Factorials (n!)

Sum of Factorials

To calculate the sum, first solve each factorial and then do the addition operation.

Correct:

a) $5!+5!=120+120=240$ $4! + 3!= 24 + 6 = 30$

Incorrect:

b) $4! + 3!= 24 + 6 = 30$

Subtraction of Factorials

To calculate the subtraction, first solve each factorial and then do the decrement operation.

Correct:

a) $5!-4!=120-24=96$ $4! + 3!= 24 + 6 = 30$

Incorrect:

b) $4! + 3!= 24 + 6 = 30$

Multiplication of Factorials

To calculate the multiplication, first solve each factorial and then solve the operation.

Correct:

a) $2!\cdot 3!=2\cdot 6=12$ $4! + 3!= 24 + 6 = 30$

Incorrect:

b) $4! + 3!= 24 + 6 = 30$

Division of Factorials

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)

$\dfrac {6!}{3!} =$ 6 ⋅ 5 ⋅ 4 ⋅ 3! / 3! / =6⋅5⋅ 4 =120

Incorrect:

b)

6! 3! =   2! ${\displaystyle \frac{}{}}$ $\dfrac {6!}{3!} =$ / = 2

Here are some calculations you can do

Use our Factorial Calculator tool to get the following results: