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Factorial of 5 is 120 | What is a factorial of 5 ?
How to calculate the factorial of 5
Lets check the detailed answer
5! is exactly: 120
The number of trailing zeros in 5! is 1.
The number of digits in 5 factorial is 3.
The factorial of 5 is 120 calculated, through its definition, this way:
5 X 4 X 3 X 2 X 1What is factorial of 5?
Definition of factorial of 5
The factorial is a basically a quantity which is defined for integer value 5 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 5 is calculated as 5 X 4 X 3 X 2 X 1
Factorial Formula for 5
For 5 is natural number which is greater than or equal to 1. Then we can have the formula as
5! = 5 x (5-1) X (5-2) X (5-3) X (5-4) X (5-5) ..... 5 X 4 X 3 X 2 X 1
Simalar Questions asked in exam for factorial of 5 :-
- Check How many digits are there in 5 factorial?
- What is the factorial of 5?
- How many trailing zeros are in 5 factorial?
- What is the last digits of factorial of 5?
Table for factorial of 1 to 5
| # | Factorial of | Factorial is |
|---|---|---|
| 1 | 1 | 1 |
| 2 | 2 | 2 |
| 3 | 3 | 6 |
| 4 | 4 | 24 |
| 5 | 5 | 120 |
Factorial examples
Example 1:-
What is the factorial of 6?Solution :-
We know that factorial formula for 6 is6! = 6 × (6-1) X (6-2) X (6-3) X (6-4) X (6-5) X (6-6) ..... 6 X 5 X 4 X 3 X 2 X 1
So the factorial of 6 is
6! = 6 X (6-1) X (6-2) X (6-3) X (6-4) X (6-5) X (6-6)
6! = 6 X 5 X 4 X 3 X 2 X 1
6! = 720
Example 2:-
What is the factorial of 7?Solution :-
We know that factorial formula for 6 is7! = 7 × (7-1) X (7-2) X (7-3) X (7-4) X (7-5) X (7-6) X (7-7) ..... 7 X 6 X 5 X 4 X 3 X 2 X 1
So the factorial of 7 is
7! = 7 X (7-1) X (7-2) X (7-3) X (7-4) X (7-5) X (7-6) X (7-7)
7! = 7 X 6 X 5 X 4 X 3 X 2 X 1
7! = 5040
Example 3:-
What is the factorial of 8?Solution :-
We know that factorial formula for 8 is8! = 8 × (8-1) X (8-2) X (8-3) X (8-4) X (8-5) X (8-6) X (8-7) X (8-8) ..... 8 X 7 X 6 X 5 X 4 X 3 X 2 X 1
So the factorial of 8 is
8! = 8 X (8-1) X (8-2) X (8-3) X (8-4) X (8-5) X (8-6) X (8-7) X (8-8)
8! = 8 X 7 X 6 X 5 X 4 X 3 X 2 X 1
8! = 40320
Frequently Asked Questions(FAQ) for Factorial
What is the factorial of 5?
Click here for detailed step by step calculation for factorial of 5.
Check How many digits are there in 5 factorial?
The number of number of digits in 5 factorial is 3.
What is the meaning of 5 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 4?
The value of factorial of 4 is 24.
What is the factorial of 8?
The value of factorial of 8 is 40320.
What is the factorial of 7?
The value of factorial of 7 is 5040.