# Java Program for factorial of a number

Factorial of a non-negative integer, is multiplication of all integers smaller than or equal to n. For example factorial of 6 is 6*5*4*3*2*1 which is 720.

**Recursive :**

`// Java program to find factorial of given number` `class` `Test` `{` ` ` `// method to find factorial of given number` ` ` `static` `int` `factorial(` `int` `n)` ` ` `{` ` ` `if` `(n == ` `0` `)` ` ` `return` `1` `;` ` ` ` ` `return` `n*factorial(n-` `1` `);` ` ` `}` ` ` ` ` `// Driver method` ` ` `public` `static` `void` `main(String[] args) ` ` ` `{` ` ` `int` `num = ` `5` `;` ` ` `System.out.println(` `"Factorial of "` `+ num + ` `" is "` `+ factorial(` `5` `));` ` ` `}` `}` |

**Iterative Solution:**

`// Java program to find factorial of given number` `class` `Test` `{` ` ` `// Method to find factorial of given number` ` ` `static` `int` `factorial(` `int` `n)` ` ` `{` ` ` `int` `res = ` `1` `, i;` ` ` `for` `(i=` `2` `; i<=n; i++)` ` ` `res *= i;` ` ` `return` `res;` ` ` `}` ` ` ` ` `// Driver method` ` ` `public` `static` `void` `main(String[] args) ` ` ` `{` ` ` `int` `num = ` `5` `;` ` ` `System.out.println(` `"Factorial of "` `+ num + ` `" is "` `+ factorial(` `5` `));` ` ` `}` `}` |

**One line Solution (Using Ternary operator):**

`// Java program to find factorial` `// of given number` `class` `Factorial {` ` ` ` ` `int` `factorial(` `int` `n)` ` ` `{` ` ` ` ` `// single line to find factorial` ` ` `return` `(n == ` `1` `|| n == ` `0` `) ? ` `1` `: n * factorial(n - ` `1` `);` ` ` ` ` `}` ` ` ` ` ` ` `// Driver Code` ` ` `public` `static` `void` `main(String args[]) ` ` ` `{` ` ` `Factorial obj = ` `new` `Factorial();` ` ` `int` `num = ` `5` `;` ` ` `System.out.println(` `"Factorial of "` `+ num + ` ` ` `" is "` `+ obj.factorial(num));` ` ` `}` `}` `// This code is contributed by Anshika Goyal.` |

The above solutions cause overflow for small numbers. Please refer factorial of large number for a solution that works for large numbers.

Please refer complete article on Program for factorial of a number for more details!