Given a positive integer, write a function to find if it is a power of three or not.

Examples:

Input :3Output :YesInput :6Output :No

**Approach:**

The logic is very simple. Any integer number other than power of 3 which divides highest power of 3 value that integer can hold 3^19 = 1162261467 (Assuming that integers are stored using 32 bits) will give reminder non-zero.

## C++

`// C++ program to check if a number is power` `// of 3 or not.` `#include <stdio.h>` `// Returns true if n is power of 3, else false` `bool` `check(` `int` `n)` `{` ` ` `if` `(n <= 0)` ` ` `return` `false` `;` ` ` `/* The maximum power of 3 value that` ` ` `integer can hold is 1162261467 ( 3^19 ) .*/` ` ` `return` `1162261467 % n == 0;` `}` `// Driver code` `int` `main()` `{` ` ` `int` `n = 9;` ` ` `if` `(check(n))` ` ` `printf` `(` `"Yes"` `);` ` ` `else` ` ` `printf` `(` `"No"` `);` ` ` `return` `0;` `}` |

## Java

`// Java program to check if a number is power` `// of 3 or not.` `public` `class` `Power_3 {` ` ` `// Returns true if n is power of 3, else false` ` ` `static` `boolean` `check(` `int` `n)` ` ` `{` ` ` `/* To prevent` ` ` `java.lang.ArithmeticException: / by zero and` ` ` `negative n */` ` ` `if` `(n <= ` `0` `)` ` ` `return` `false` `;` ` ` `/* The maximum power of 3 value that` ` ` `integer can hold is 1162261467 ( 3^19 ) .*/` ` ` `return` `1162261467` `% n == ` `0` `;` ` ` `}` ` ` `// Driver code` ` ` `public` `static` `void` `main(String args[])` ` ` `{` ` ` `int` `n = ` `9` `;` ` ` `if` `(check(n))` ` ` `System.out.println(` `"Yes"` `);` ` ` `else` ` ` `System.out.println(` `"No"` `);` ` ` `}` `}` `// This code is contributed by Sumit Ghosh` |

## Python

`# Python program to check if a number is power` `# of 3 or not.` ` ` `# Returns true if n is power of 3, else false` `def` `check(n):` ` ` `""" The maximum power of 3 value that` ` ` `integer can hold is 1162261467 ( 3^19 ) ."""` ` ` `return` `1162261467` `%` `n ` `=` `=` `0` ` ` `# Driver code` `n ` `=` `9` `if` `(check(n)):` ` ` `print` `(` `"Yes"` `)` `else` `:` ` ` `print` `(` `"No"` `)` `# This code is contributed by Sachin Bisht` |

## C#

`// C# program to check if a number` `// is power of 3 or not.` `using` `System;` `public` `class` `GFG {` ` ` `// Returns true if n is power` ` ` `// of 3, else false` ` ` `static` `bool` `check(` `int` `n)` ` ` `{` ` ` `if` `(n <= 0)` ` ` `return` `false` `;` ` ` `/* The maximum power of 3` ` ` `value that integer can hold` ` ` `is 1162261467 ( 3^19 ) .*/` ` ` `return` `1162261467 % n == 0;` ` ` `}` ` ` `// Driver code` ` ` `public` `static` `void` `Main()` ` ` `{` ` ` `int` `n = 9;` ` ` `if` `(check(n))` ` ` `Console.Write(` `"Yes"` `);` ` ` `else` ` ` `Console.Write(` `"No"` `);` ` ` `}` `}` `// This code is contributed by` `// nitin mittal.` |

## PHP

`<?php` `// PHP program to check if a` `// number is power of 3 or not.` `// Returns true if n is` `// power of 3, else false` `function` `check(` `$n` `)` `{` ` ` ` ` `/* The maximum power of 3 value that` ` ` `integer can hold is 1162261467` ` ` `( 3^19 ) . */` ` ` `return` `1162261467 % ` `$n` `== 0;` `}` ` ` `// Driver code` ` ` `$n` `= 9;` ` ` `if` `(check(` `$n` `))` ` ` `echo` `(` `"Yes"` `);` ` ` `else` ` ` `echo` `(` `"No"` `);` `// This code is contributed by nitin mittal` `?>` |

## Javascript

`<script>` `// Javascript program to check if a` `// number is power of 3 or not.` `// Returns true if n is` `// power of 3, else false` `function` `check(n)` `{` ` ` ` ` `/* The maximum power of 3 value that` ` ` `integer can hold is 1162261467` ` ` `( 3^19 ) . */` ` ` `return` `1162261467 % n == 0;` `}` ` ` `// Driver code` ` ` `let n = 9;` ` ` `if` `(check(n))` ` ` `document.write(` `"Yes"` `);` ` ` `else` ` ` `document.write(` `"No"` `);` `// This code is contributed by nitin _saurabh_jaiswal` `</script>` |

**Output: **

Yes

**Time Complexity : **O(1)

**Auxiliary Space:** O(1)

This article is contributed by **Jebasingh and Riyazath**. If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.

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