Factorial of 13 is 6227020800 | What is a factorial of 13 ?

How to calculate the factorial of 13

Lets check the detailed answer

13! is exactly: 6227020800

The number of trailing zeros in 13! is 2.

The number of digits in 13 factorial is 10.

The factorial of 13 is 6227020800 calculated, through its definition, this way:

13 X 12 X 11 X 10 X 9 X 8 X 7 X 6 X 5 X 4 X 3 X 2 X 1

What is factorial of 13?

Definition of factorial of 13

The factorial is a basically a quantity which is defined for integer value 13 which is greater than or equal to 0.

The factorial is nothing but the product of all intergers which is less than or equal to n but it is greater than or equal to 1. By definition we can say that the factorial value of 0 is equal to 1. We can not have negative integers factorial as defined. We can see that factorial is the result of multiplying a sequence of descending natural numbers. We can say that factorial of 13 is calculated as 13 X 12 X 11 X 10 X 9 X 8 X 7 X 6 X 5 X 4 X 3 X 2 X 1

Factorial Formula for 13

For 13 is natural number which is greater than or equal to 1. Then we can have the formula as

13! = 13 x (13-1) X (13-2) X (13-3) X (13-4) X (13-5) X (13-6) X (13-7) X (13-8) X (13-9) X (13-10) X (13-11) X (13-12) X (13-13) ..... 13 X 12 X 11 X 10 X 9 X 8 X 7 X 6 X 5 X 4 X 3 X 2 X 1

• Check How many digits are there in 13 factorial?
• What is the factorial of 13?
• How many trailing zeros are in 13 factorial?
• What is the last digits of factorial of 13?

Factorial examples

Example 1:-

What is the factorial of 14?

Solution :-

We know that factorial formula for 14 is
14! = 14 × (14-1) X (14-2) X (14-3) X (14-4) X (14-5) X (14-6) X (14-7) X (14-8) X (14-9) X (14-10) X (14-11) X (14-12) X (14-13) X (14-14) ..... 14 X 13 X 12 X 11 X 10 X 9 X 8 X 7 X 6 X 5 X 4 X 3 X 2 X 1

So the factorial of 14 is

14! = 14 X (14-1) X (14-2) X (14-3) X (14-4) X (14-5) X (14-6) X (14-7) X (14-8) X (14-9) X (14-10) X (14-11) X (14-12) X (14-13) X (14-14)

14! = 14 X 13 X 12 X 11 X 10 X 9 X 8 X 7 X 6 X 5 X 4 X 3 X 2 X 1

14! = 87178291200

Example 2:-

What is the factorial of 15?

Solution :-

We know that factorial formula for 14 is
15! = 15 × (15-1) X (15-2) X (15-3) X (15-4) X (15-5) X (15-6) X (15-7) X (15-8) X (15-9) X (15-10) X (15-11) X (15-12) X (15-13) X (15-14) X (15-15) ..... 15 X 14 X 13 X 12 X 11 X 10 X 9 X 8 X 7 X 6 X 5 X 4 X 3 X 2 X 1

So the factorial of 15 is

15! = 15 X (15-1) X (15-2) X (15-3) X (15-4) X (15-5) X (15-6) X (15-7) X (15-8) X (15-9) X (15-10) X (15-11) X (15-12) X (15-13) X (15-14) X (15-15)

15! = 15 X 14 X 13 X 12 X 11 X 10 X 9 X 8 X 7 X 6 X 5 X 4 X 3 X 2 X 1

15! = 1307674368000

Example 3:-

What is the factorial of 16?

Solution :-

We know that factorial formula for 16 is
16! = 16 × (16-1) X (16-2) X (16-3) X (16-4) X (16-5) X (16-6) X (16-7) X (16-8) X (16-9) X (16-10) X (16-11) X (16-12) X (16-13) X (16-14) X (16-15) X (16-16) ..... 16 X 15 X 14 X 13 X 12 X 11 X 10 X 9 X 8 X 7 X 6 X 5 X 4 X 3 X 2 X 1

So the factorial of 16 is

16! = 16 X (16-1) X (16-2) X (16-3) X (16-4) X (16-5) X (16-6) X (16-7) X (16-8) X (16-9) X (16-10) X (16-11) X (16-12) X (16-13) X (16-14) X (16-15) X (16-16)

16! = 16 X 15 X 14 X 13 X 12 X 11 X 10 X 9 X 8 X 7 X 6 X 5 X 4 X 3 X 2 X 1

16! = 20922789888000

Frequently Asked Questions(FAQ) for Factorial

What is the meaning of 13 factorial?

The meaning of 13 factorial is a quantity which is defined for integer value 13 which is greater than or equal to 0.

Click here for detailed meaning for for factorial of 13 .

What is the symbol of factorial?

The symbol for factorial is ! (exclamation mark).

What is the factorial of 0?

The value of factorial of 0 is 1, i.e. 0! = 1.

What is the factorial of 12?

The value of factorial of 12 is 479001600.

What is the factorial of 16?

The value of factorial of 16 is 20922789888000.

What is the factorial of 15?

The value of factorial of 15 is 1307674368000.

Miscellaneous factorial calculations