C Program to check if a number is divisible by any of its digits

Given a number n, task is to find that any of the digit in the number divides the number completely or not. Like we are given a number 128625 is divisible by 5 which is also present in the number.

Example

Input: 53142
Output: yes
Explanation: This number is divisible by 1, 2 and 3
which are the digits of the number
Input: 223
Output: No
Explanation: The number is not divisible by either 2 or 3

The approach used below is as follows −

• We will start from the unit place and take the unit place’s number.
• Check whether the number is divisible or not
• Divide the number with 10
• Goto step 1 until the number is 0

Algorithm

Start
In function int divisible(long long int n)
   Step 1-> Declare and initialize temp = n
   Step 2 -> Loop while n {
      Set k as n % 10
      If temp % k == 0 then,
         Return 1
      Set n = n/ 10
   End loop
   Return 0
In Function int main()
   Step 1-> Declare and initialize n = 654123
   Step 2-> If (divisible(n)) then,
      Print "Yes”
   Step 3-> Else
   Print "No”

Example

 Live Demo

#include <stdio.h>
int divisible(long long int n) {
   long long int temp = n;
   // check if any of digit divides n
   while (n) {
      int k = n % 10;
      if (temp % k == 0)
         return 1;
         n /= 10;
   }
   return 0;
}
int main() {
   long long int n = 654123;
   if (divisible(n)) {
      printf("Yes
");
   }
   else
      printf("No
");
   return 0;
}

Output

If run the above code it will generate the following output −

Yes