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# Factorial of 21 is 51090942171709440000 | What is a factorial of 21 ? ## How to calculate the factorial of 21

21! is exactly: 51090942171709440000

The number of trailing zeros in 21! is 4.

The number of digits in 21 factorial is 20.

The factorial of 21 is 51090942171709440000 calculated, through its definition, this way:

21 X 20 X 19 X 18 X 17 X 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

### What is factorial of 21?

Definition of factorial of 21

The factorial is a basically a quantity which is defined for integer value 21 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 21 is calculated as 21 X 20 X 19 X 18 X 17 X 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

### Factorial Formula for 21 For 21 is natural number which is greater than or equal to 1. Then we can have the formula as

21! = 21 x (21-1) X (21-2) X (21-3) X (21-4) X (21-5) X (21-6) X (21-7) X (21-8) X (21-9) X (21-10) X (21-11) X (21-12) X (21-13) X (21-14) X (21-15) X (21-16) X (21-17) X (21-18) X (21-19) X (21-20) X (21-21) ..... 21 X 20 X 19 X 18 X 17 X 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

#### Simalar Questions asked in exam for factorial of 21 :-

• Check How many digits are there in 21 factorial?
• What is the factorial of 21?
• How many trailing zeros are in 21 factorial?
• What is the last digits of factorial of 21?

## Table for factorial of 1 to 21

# 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
11 11 39916800
12 12 479001600
13 13 6227020800
14 14 87178291200
15 15 1307674368000
16 16 20922789888000
17 17 355687428096000
18 18 6402373705728000
19 19 121645100408832000
20 20 2432902008176640000
21 21 51090942171709440000

### Factorial examples

Example 1:-

What is the factorial of 22?

Solution :-

We know that factorial formula for 22 is
22! = 22 × (22-1) X (22-2) X (22-3) X (22-4) X (22-5) X (22-6) X (22-7) X (22-8) X (22-9) X (22-10) X (22-11) X (22-12) X (22-13) X (22-14) X (22-15) X (22-16) X (22-17) X (22-18) X (22-19) X (22-20) X (22-21) X (22-22) ..... 22 X 21 X 20 X 19 X 18 X 17 X 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 22 is

22! = 22 X (22-1) X (22-2) X (22-3) X (22-4) X (22-5) X (22-6) X (22-7) X (22-8) X (22-9) X (22-10) X (22-11) X (22-12) X (22-13) X (22-14) X (22-15) X (22-16) X (22-17) X (22-18) X (22-19) X (22-20) X (22-21) X (22-22)

22! = 22 X 21 X 20 X 19 X 18 X 17 X 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

22! = 1124000727777607680000

Example 2:-

What is the factorial of 23?

Solution :-

We know that factorial formula for 22 is
23! = 23 × (23-1) X (23-2) X (23-3) X (23-4) X (23-5) X (23-6) X (23-7) X (23-8) X (23-9) X (23-10) X (23-11) X (23-12) X (23-13) X (23-14) X (23-15) X (23-16) X (23-17) X (23-18) X (23-19) X (23-20) X (23-21) X (23-22) X (23-23) ..... 23 X 22 X 21 X 20 X 19 X 18 X 17 X 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 23 is

23! = 23 X (23-1) X (23-2) X (23-3) X (23-4) X (23-5) X (23-6) X (23-7) X (23-8) X (23-9) X (23-10) X (23-11) X (23-12) X (23-13) X (23-14) X (23-15) X (23-16) X (23-17) X (23-18) X (23-19) X (23-20) X (23-21) X (23-22) X (23-23)

23! = 23 X 22 X 21 X 20 X 19 X 18 X 17 X 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

23! = 25852016738884976640000

Example 3:-

What is the factorial of 24?

Solution :-

We know that factorial formula for 24 is
24! = 24 × (24-1) X (24-2) X (24-3) X (24-4) X (24-5) X (24-6) X (24-7) X (24-8) X (24-9) X (24-10) X (24-11) X (24-12) X (24-13) X (24-14) X (24-15) X (24-16) X (24-17) X (24-18) X (24-19) X (24-20) X (24-21) X (24-22) X (24-23) X (24-24) ..... 24 X 23 X 22 X 21 X 20 X 19 X 18 X 17 X 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 24 is

24! = 24 X (24-1) X (24-2) X (24-3) X (24-4) X (24-5) X (24-6) X (24-7) X (24-8) X (24-9) X (24-10) X (24-11) X (24-12) X (24-13) X (24-14) X (24-15) X (24-16) X (24-17) X (24-18) X (24-19) X (24-20) X (24-21) X (24-22) X (24-23) X (24-24)

24! = 24 X 23 X 22 X 21 X 20 X 19 X 18 X 17 X 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

24! = 620448401733239439360000

## Frequently Asked Questions(FAQ) for Factorial

##### What is the factorial of 21?
The factorial of 21 is 51090942171709440000
##### Check How many digits are there in 21 factorial?

The number of number of digits in 21 factorial is 20.

##### What is the meaning of 21 factorial?
The meaning of 21 factorial is a quantity which is defined for integer value 21 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 20?

The value of factorial of 20 is 2432902008176640000.

##### What is the factorial of 24?

The value of factorial of 24 is 620448401733239439360000.

##### What is the factorial of 23?

The value of factorial of 23 is 25852016738884976640000.