Given a number, the task is to check if a number is divisible by 6 or not. The input number may be large and it may not be possible to store even if we use long long int.

Examples:

Input : n = 2112 Output : Yes Input : n = 1124 Output : No Input : n = 363588395960667043875487 Output : No

Since input number may be very large, we cannot use n % 6 to check if a number is divisible by 8 or not, especially in languages like C/C++. The idea is based on following fact.

A number is divisible by 6 it's divisible by 2 and 3. a) A number is divisible by 2 if its last digit is divisible by 2. b) A number is divisible by 3 if sum of digits is divisible by 3.

Below is the implementation based on above steps.

## C++

`// C++ program to find if a number is divisible by ` `// 6 or not ` `#include<bits/stdc++.h> ` `using` `namespace` `std; ` ` ` `// Function to find that number divisble by 6 or not ` `bool` `check(string str) ` `{ ` ` ` `int` `n = str.length(); ` ` ` ` ` `// Return false if number is not divisible by 2. ` ` ` `if` `((str[n-1]-` `'0'` `)%2 != 0) ` ` ` `return` `false` `; ` ` ` ` ` `// If we reach here, number is divisible by 2. ` ` ` `// Now check for 3. ` ` ` ` ` `// Compute sum of digits ` ` ` `int` `digitSum = 0; ` ` ` `for` `(` `int` `i=0; i<n; i++) ` ` ` `digitSum += (str[i]-` `'0'` `); ` ` ` ` ` `// Check if sum of digits is divisible by 3 ` ` ` `return` `(digitSum % 3 == 0); ` `} ` ` ` `// Driver code ` `int` `main() ` `{ ` ` ` `string str = ` `"1332"` `; ` ` ` `check(str)? cout << ` `"Yes"` `: cout << ` `"No "` `; ` ` ` `return` `0; ` `} ` |

*chevron_right*

*filter_none*

## Java

`// Java program to find if a number is ` `// divisible by 6 or not ` `class` `IsDivisible ` `{ ` ` ` `// Function to find that number divisble by 6 or not ` ` ` `static` `boolean` `check(String str) ` ` ` `{ ` ` ` `int` `n = str.length(); ` ` ` ` ` `// Return false if number is not divisible by 2. ` ` ` `if` `((str.charAt(n-` `1` `) -` `'0'` `)%` `2` `!= ` `0` `) ` ` ` `return` `false` `; ` ` ` ` ` `// If we reach here, number is divisible by 2. ` ` ` `// Now check for 3. ` ` ` ` ` `// Compute sum of digits ` ` ` `int` `digitSum = ` `0` `; ` ` ` `for` `(` `int` `i=` `0` `; i<n; i++) ` ` ` `digitSum += (str.charAt(i)-` `'0'` `); ` ` ` ` ` `// Check if sum of digits is divisible by 3 ` ` ` `return` `(digitSum % ` `3` `== ` `0` `); ` ` ` `} ` ` ` ` ` `// main function ` ` ` `public` `static` `void` `main (String[] args) ` ` ` `{ ` ` ` `String str = ` `"1332"` `; ` ` ` `if` `(check(str)) ` ` ` `System.out.println(` `"Yes"` `); ` ` ` `else` ` ` `System.out.println(` `"No"` `); ` ` ` `} ` `} ` |

*chevron_right*

*filter_none*

## Python3

`# Python 3 program to find ` `# if a number is divisible ` `# by 6 or not ` ` ` `# Function to find that number ` `# is divisible by 6 or not ` `def` `check(st) : ` ` ` `n ` `=` `len` `(st) ` ` ` ` ` ` ` `# Return false if number ` ` ` `# is not divisible by 2. ` ` ` `if` `(((` `int` `)(st[n` `-` `1` `])` `%` `2` `) !` `=` `0` `) : ` ` ` `return` `False` ` ` ` ` `# If we reach here, number ` ` ` `# is divisible by 2. Now ` ` ` `# check for 3. ` ` ` ` ` `# Compute sum of digits ` ` ` `digitSum ` `=` `0` ` ` `for` `i ` `in` `range` `(` `0` `, n) : ` ` ` `digitSum ` `=` `digitSum ` `+` `(` `int` `)(st[i]) ` ` ` ` ` `# Check if sum of digits ` ` ` `# is divisible by 3 ` ` ` `return` `(digitSum ` `%` `3` `=` `=` `0` `) ` ` ` ` ` `# Driver code ` `st ` `=` `"1332"` `if` `(check(st)) : ` ` ` `print` `(` `"Yes"` `) ` `else` `: ` ` ` `print` `(` `"No "` `) ` ` ` `# This article is contributed by Nikita Tiwari. ` |

*chevron_right*

*filter_none*

## C#

`// C# program to find if a number is ` `// divisible by 6 or not ` `using` `System; ` ` ` `class` `GFG { ` ` ` ` ` `// Function to find that number ` ` ` `// divisble by 6 or not ` ` ` `static` `bool` `check(String str) ` ` ` `{ ` ` ` `int` `n = str.Length; ` ` ` ` ` `// Return false if number is ` ` ` `// not divisible by 2. ` ` ` `if` `((str[n-1] -` `'0'` `) % 2 != 0) ` ` ` `return` `false` `; ` ` ` ` ` `// If we reach here, number is ` ` ` `// divisible by 2. ` ` ` `// Now check for 3. ` ` ` ` ` `// Compute sum of digits ` ` ` `int` `digitSum = 0; ` ` ` `for` `(` `int` `i = 0; i < n; i++) ` ` ` `digitSum += (str[i] - ` `'0'` `); ` ` ` ` ` `// Check if sum of digits is ` ` ` `// divisible by 3 ` ` ` `return` `(digitSum % 3 == 0); ` ` ` `} ` ` ` ` ` `// main function ` ` ` `public` `static` `void` `Main () ` ` ` `{ ` ` ` `String str = ` `"1332"` `; ` ` ` ` ` `if` `(check(str)) ` ` ` `Console.Write(` `"Yes"` `); ` ` ` `else` ` ` `Console.Write(` `"No"` `); ` ` ` `} ` `} ` ` ` `// This code is contributed by parashar. ` |

*chevron_right*

*filter_none*

## PHP

`<?php ` `// PHP program to find if a ` `// number is divisible by ` `// 6 or not ` ` ` `// Function to find that number ` `// divisble by 6 or not ` `function` `check(` `$str` `) ` `{ ` ` ` `$n` `= ` `strlen` `(` `$str` `); ` ` ` ` ` `// Return false if number is ` ` ` `// not divisible by 2. ` ` ` `if` `((` `$str` `[` `$n` `- 1] - ` `'0'` `) % 2 != 0) ` ` ` `return` `false; ` ` ` ` ` `// If we reach here, number ` ` ` `// is divisible by 2. ` ` ` `// Now check for 3. ` ` ` `// Compute sum of digits ` ` ` `$digitSum` `= 0; ` ` ` `for` `(` `$i` `= 0; ` `$i` `< ` `$n` `; ` `$i` `++) ` ` ` `$digitSum` `+= (` `$str` `[` `$i` `] - ` `'0'` `); ` ` ` ` ` `// Check if sum of digits ` ` ` `// is divisible by 3 ` ` ` `return` `(` `$digitSum` `% 3 == 0); ` `} ` ` ` ` ` `// Driver code ` ` ` `$str` `= ` `"1332"` `; ` ` ` `if` `(check(` `$str` `)) ` ` ` `echo` `"Yes"` `; ` ` ` `else` ` ` `echo` `" No "` `; ` ` ` `return` `0; ` ` ` `// This code is contributed by nitin mittal. ` `?> ` |

*chevron_right*

*filter_none*

Output:

Yes

This article is contributed by DANISH_RAZA . 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.

Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above.

## Recommended Posts:

- Check if a large number is divisible by 5 or not
- Check if a large number is divisible by 9 or not
- Check if a large number is divisible by 8 or not
- Check if a large number is divisible by 4 or not
- Check if a large number is divisible by 3 or not
- Check if a large number is divisible by 11 or not
- Check if a large number is divisible by 2, 3 and 5 or not
- Check if a large number is divisible by 25 or not
- Check a large number is divisible by 16 or not
- Check if any large number is divisible by 17 or not
- Check if a large number is divisible by 75 or not
- Check if any large number is divisible by 19 or not
- Check if a large number is divisible by 13 or not
- To check whether a large number is divisible by 7
- Check if a large number is divisible by 20