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A quick and practical java program to find the factorial for a given number. Reading the input from the user and example program using a recursive approach and an iterative approach.

## 1. Overview

In this programming series, Today we are going to learn how to find the factorial for a given number using iterative and recursive approach.

In mathematics, the factorial of a positive integer n, denoted by n!, is the product of all positive integers less than or equal to n: The following is the formulae to find the factorial.

n! =  n * (n-1) * (n-2) * (n-3) * ..... * 3 * 2 * 1

For example,

5! = 5 * 4 * 3 * 2 * 1

An iterative approach is running a loop for n times and executing the same set of code using for loop or while loop whereas in recursive approach is calling the same function from itself for n times.

## 2. Iterative Java Program to Find Factorial using for loop

In the Iterative approach, Running a for loop for n times where n is the given number.

Example:

```package com.java.w3schools.blog.java.program.to;

import java.util.Scanner;

/**
*
* Iterative java program to find the factorial using for loop
*
* @author JavaProgramTo.com
*
*/
public class FactorialExample {

public static void main(String[] args) {

System.out.println("Enter a number : ");
Scanner scanner = new Scanner(System.in);
int n = scanner.nextInt();

int factorialResult = 1;

// using for loop
for (int i = 1; i <= n; i++) {

factorialResult = factorialResult * i;
}

System.out.println("Factorial value for " + n + " is : " + factorialResult);

}

}
```

Output:

```Enter a number :
5
Factorial value for 5 is : 120
```

## 3. Iterative Java Program to Find Factorial using while loop

The above program is implemented using for loop. Now, we will see the same using a while loop. Both fall under the iterative approach.

Example:

```package com.java.w3schools.blog.java.program.to;

import java.util.Scanner;

/**
*
* Iterative java program to find the factorial using while loop
*
* @author JavaProgramTo.com
*
*/
public class FactorialWhileLoopExample {

public static void main(String[] args) {

System.out.println("Enter a number : ");
Scanner scanner = new Scanner(System.in);
int n = scanner.nextInt();

int factorialResult = 1;

// using while loop
int i = 1;
while (i <= n) {

factorialResult = factorialResult * i;
i++;
}

System.out.println("Factorial value for " + n + " using while loop is : " + factorialResult);

}

}
```

Output:

```Enter a number :
5
Factorial value for 5 using while loop is : 120
```

## 4. A recursive approach to find factorial

The below program is completely done using the recursive method and also an interview question.

```package com.java.w3schools.blog.java.program.to;

import java.util.Scanner;

/**
*
* Iterative java program to find the factorial using Recursive concept.
*
* @author JavaProgramTo.com
*
*/
public class FactorialRecursiveExample {

public static void main(String[] args) {

System.out.println("Enter a number : ");
Scanner scanner = new Scanner(System.in);
int n = scanner.nextInt();

int factorialResult = factorial(n);

System.out.println("Factorial value for " + n + " using recursive logic is : " + factorialResult);

}

/**
*
* Recursive function for factorial program.
*
* @param n
* @return
*/
private static int factorial(int n) {

if (n == 1)
return 1;

return n * factorial(n - 1);
}

}
```

This program output will be the same as iterative approaches.

## 5. Conclusion

In this article, We've seen what is the factorial term in mathematics and what is the formulae. Seen the example programs using iterative and recursive approach.

BLOGGER

Author: Venkatesh - I love to learn and share the technical stuff.
Name

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JavaProgramTo.com: Best Way To Find the Factorial of a Number In java (Iterative and Recursive)
Best Way To Find the Factorial of a Number In java (Iterative and Recursive)
A quick and practical java program to find the factorial for a given number. Reading the input from the user and example program using a recursive approach and an iterative approach.