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Factorial of 23 is 25852016738884976640000 | What is a factorial of 23 ?

How to calculate the factorial of 23
Lets check the detailed answer
23! is exactly: 25852016738884976640000
The number of trailing zeros in 23! is 4.
The number of digits in 23 factorial is 23.
The factorial of 23 is 25852016738884976640000 calculated, through its definition, this way:
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 1What is factorial of 23?
Definition of factorial of 23
The factorial is a basically a quantity which is defined for integer value 23 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 23 is calculated as 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
Factorial Formula for 23

For 23 is natural number which is greater than or equal to 1. Then we can have the formula as
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 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
Simalar Questions asked in exam for factorial of 23 :-
- Check How many digits are there in 23 factorial?
- What is the factorial of 23?
- How many trailing zeros are in 23 factorial?
- What is the last digits of factorial of 23?
Table for factorial of 1 to 23
# | 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 |
22 | 22 | 1124000727777607680000 |
23 | 23 | 25852016738884976640000 |
Factorial examples
Example 1:-
What is the factorial of 24?Solution :-
We know that factorial formula for 24 is24! = 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
Example 2:-
What is the factorial of 25?Solution :-
We know that factorial formula for 24 is25! = 25 × (25-1) X (25-2) X (25-3) X (25-4) X (25-5) X (25-6) X (25-7) X (25-8) X (25-9) X (25-10) X (25-11) X (25-12) X (25-13) X (25-14) X (25-15) X (25-16) X (25-17) X (25-18) X (25-19) X (25-20) X (25-21) X (25-22) X (25-23) X (25-24) X (25-25) ..... 25 X 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 25 is
25! = 25 X (25-1) X (25-2) X (25-3) X (25-4) X (25-5) X (25-6) X (25-7) X (25-8) X (25-9) X (25-10) X (25-11) X (25-12) X (25-13) X (25-14) X (25-15) X (25-16) X (25-17) X (25-18) X (25-19) X (25-20) X (25-21) X (25-22) X (25-23) X (25-24) X (25-25)
25! = 25 X 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
25! = 15511210043330985984000000
Example 3:-
What is the factorial of 26?Solution :-
We know that factorial formula for 26 is26! = 26 × (26-1) X (26-2) X (26-3) X (26-4) X (26-5) X (26-6) X (26-7) X (26-8) X (26-9) X (26-10) X (26-11) X (26-12) X (26-13) X (26-14) X (26-15) X (26-16) X (26-17) X (26-18) X (26-19) X (26-20) X (26-21) X (26-22) X (26-23) X (26-24) X (26-25) X (26-26) ..... 26 X 25 X 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 26 is
26! = 26 X (26-1) X (26-2) X (26-3) X (26-4) X (26-5) X (26-6) X (26-7) X (26-8) X (26-9) X (26-10) X (26-11) X (26-12) X (26-13) X (26-14) X (26-15) X (26-16) X (26-17) X (26-18) X (26-19) X (26-20) X (26-21) X (26-22) X (26-23) X (26-24) X (26-25) X (26-26)
26! = 26 X 25 X 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
26! = 403291461126605635584000000
Frequently Asked Questions(FAQ) for Factorial
What is the factorial of 23?
Click here for detailed step by step calculation for factorial of 23.
Check How many digits are there in 23 factorial?
The number of number of digits in 23 factorial is 23.
What is the meaning of 23 factorial?
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 22?
The value of factorial of 22 is 1124000727777607680000.
What is the factorial of 26?
The value of factorial of 26 is 403291461126605635584000000.
What is the factorial of 25?
The value of factorial of 25 is 15511210043330985984000000.