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# Factorial of 10 is 3628800 | What is a factorial of 10 ? ## How to calculate the factorial of 10

10! is exactly: 3628800

The number of trailing zeros in 10! is 2.

The number of digits in 10 factorial is 7.

The factorial of 10 is 3628800 calculated, through its definition, this way:

10 X 9 X 8 X 7 X 6 X 5 X 4 X 3 X 2 X 1

### What is factorial of 10?

Definition of factorial of 10

The factorial is a basically a quantity which is defined for integer value 10 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 10 is calculated as 10 X 9 X 8 X 7 X 6 X 5 X 4 X 3 X 2 X 1

### Factorial Formula for 10 For 10 is natural number which is greater than or equal to 1. Then we can have the formula as

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

#### Simalar Questions asked in exam for factorial of 10 :-

• Check How many digits are there in 10 factorial?
• What is the factorial of 10?
• How many trailing zeros are in 10 factorial?
• What is the last digits of factorial of 10?

## Table for factorial of 1 to 10

# Factorial of Factorial is
1 1 1
2 2 2
3 3 6
4 4 24
5 5 120
6 6 720
7 7 5040
8 8 40320
9 9 362880
10 10 3628800

### Factorial examples

Example 1:-

What is the factorial of 11?

Solution :-

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

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

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

11! = 39916800

Example 2:-

What is the factorial of 12?

Solution :-

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

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

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

12! = 479001600

Example 3:-

What is the factorial of 13?

Solution :-

We know that factorial formula for 13 is
13! = 13 × (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

So the factorial of 13 is

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! = 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

13! = 6227020800

## Frequently Asked Questions(FAQ) for Factorial

##### What is the factorial of 10?
The factorial of 10 is 3628800
##### Check How many digits are there in 10 factorial?

The number of number of digits in 10 factorial is 7.

##### What is the meaning of 10 factorial?
The meaning of 10 factorial is a quantity which is defined for integer value 10 which is greater than or equal to 0.
##### 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 9?

The value of factorial of 9 is 362880.

##### What is the factorial of 13?

The value of factorial of 13 is 6227020800.

##### What is the factorial of 12?

The value of factorial of 12 is 479001600.