# Check if a given number is factorial of any number

Given a number n, the task is to determine whether n can be a factorial of some number x

Examples:

```Input: N = 24
Output: Yes
Explanation: 4! = 24

Input: N = 25
Output: No
```

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

Approach:

Divide x by 2, divide by 3, and so on, until you cannot divide further. If you reach the number 1, then it’s factorial number else not.

Below is the implementation of the above approach:

## C++

 `// C++ implementation for  ` `// the above approach ` `#include ` `using` `namespace` `std; ` ` `  `// Function to check if  ` `// the given number is a  ` `// factorial of any number ` `bool` `isFactorial(``int` `n) ` `{ ` `  ``for` `(``int` `i = 1;; i++) { ` `    ``if` `(n % i == 0) { ` `      ``n /= i; ` `    ``} ` `    ``else` `{ ` `      ``break``; ` `    ``} ` `  ``} ` ` `  `  ``if` `(n == 1) { ` `    ``return` `true``; ` `  ``} ` `  ``else` `{ ` `    ``return` `false``; ` `  ``} ` `} ` ` `  `// Driver Code ` `int` `main() ` `{ ` `  ``int` `n = 24; ` ` `  `  ``bool` `ans = isFactorial(n); ` `  ``if` `(ans == 1) { ` `    ``cout << ``"Yes\n"``; ` `  ``} ` `  ``else` `{ ` `    ``cout << ``"No\n"``; ` `  ``} ` ` `  `  ``return` `0; ` `} `

## Java

 `// Java implementation for the above approach  ` `class` `GFG ` `{ ` ` `  `    ``// Function to check if the given number  ` `    ``// is a factorial of any number  ` `    ``static` `boolean` `isFactorial(``int` `n)  ` `    ``{  ` `        ``for` `(``int` `i = ``1``;; i++)  ` `        ``{  ` `            ``if` `(n % i == ``0``)  ` `            ``{  ` `                ``n /= i;  ` `            ``}  ` `            ``else`  `            ``{  ` `                ``break``;  ` `            ``}  ` `        ``}  ` `     `  `        ``if` `(n == ``1``)  ` `        ``{  ` `            ``return` `true``;  ` `        ``}  ` `        ``else`  `        ``{  ` `            ``return` `false``;  ` `        ``}  ` `    ``}  ` `     `  `    ``// Driver Code  ` `    ``public` `static` `void` `main (String[] args)  ` `    ``{  ` `        ``int` `n = ``24``;  ` `        ``boolean` `ans = isFactorial(n);  ` `         `  `        ``if` `(ans == ``true``)  ` `        ``{  ` `            ``System.out.println(``"Yes"``);  ` `        ``}  ` `        ``else` `        ``{  ` `            ``System.out.println(``"No"``);  ` `        ``}  ` `    ``}  ` `} ` ` `  `// This code is contributed by AnkitRai01 `

## Python3

 `# Python3 implementation of the approach  ` ` `  `# Function to check if  ` `# the given number is a  ` `# factorial of any number  ` `def` `isFactorial(n) : ` `    ``i ``=` `1``; ` `    ``while``(``True``) : ` `         `  `        ``if` `(n ``%` `i ``=``=` `0``) : ` `            ``n ``/``/``=` `i; ` `             `  `        ``else` `: ` `            ``break``;  ` `             `  `        ``i ``+``=` `1``; ` ` `  `    ``if` `(n ``=``=` `1``) : ` `        ``return` `True``;  ` `     `  `    ``else` `: ` `        ``return` `False``;  ` ` `  `# Driver Code  ` `if` `__name__ ``=``=` `"__main__"` `:  ` `    ``n ``=` `24``;  ` `    ``ans ``=` `isFactorial(n);  ` `     `  `    ``if` `(ans ``=``=` `1``) : ` `        ``print``(``"Yes"``);  ` ` `  `    ``else` `: ` `        ``print``(``"No"``);  ` ` `  `# This code is contributed by kanugargng `

## C#

 `// C# implementation for the above approach ` `using` `System; ` `     `  `class` `GFG ` `{ ` ` `  `    ``// Function to check if the given number  ` `    ``// is a factorial of any number  ` `    ``static` `Boolean isFactorial(``int` `n)  ` `    ``{  ` `        ``for` `(``int` `i = 1;; i++)  ` `        ``{  ` `            ``if` `(n % i == 0)  ` `            ``{  ` `                ``n /= i;  ` `            ``}  ` `            ``else` `            ``{  ` `                ``break``;  ` `            ``}  ` `        ``}  ` `     `  `        ``if` `(n == 1)  ` `        ``{  ` `            ``return` `true``;  ` `        ``}  ` `        ``else` `        ``{  ` `            ``return` `false``;  ` `        ``}  ` `    ``}  ` `     `  `    ``// Driver Code  ` `    ``public` `static` `void` `Main (String[] args)  ` `    ``{  ` `        ``int` `n = 24;  ` `        ``Boolean ans = isFactorial(n);  ` `         `  `        ``if` `(ans == ``true``)  ` `        ``{  ` `            ``Console.WriteLine(``"Yes"``);  ` `        ``}  ` `        ``else` `        ``{  ` `            ``Console.WriteLine(``"No"``);  ` `        ``}  ` `    ``}  ` `} ` ` `  `// This code is contributed by 29AjayKumar `

Output:

```Yes
```

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