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# Factorial of 5 is 120 | What is a factorial of 5 ? ## How to calculate the factorial of 5

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 1

### What 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 is
6! = 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 is
7! = 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 is
8! = 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?
The factorial of 5 is 120
##### 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?
The meaning of 5 factorial is a quantity which is defined for integer value 5 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 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.