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

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 1

What 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

What is a factorial formula of  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 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


Example 2:-

What is the factorial of 25?

Solution :-

We know that factorial formula for 24 is
25! = 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 is
26! = 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?
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?
The meaning of 23 factorial is a quantity which is defined for integer value 23 which is greater than or equal to 0.

Click here for detailed meaning for for factorial of 23 .

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.

Miscellaneous factorial calculations