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Check if a number is divisible by 41 or not in C++
Here we will see one program, that can check whether a number is divisible by 41 or not. Suppose a number 104413920565933 is given. This is divisible by 41.
To check the divisibility, we have to follow this rule −
Extract the last digit of the number/truncated number every time
subtract 4 * (last digit of the number calculated previous) to the truncated number
Repeat these steps as long as necessary.
30873, so 3087 - 4*3 = 3075 3075, so 307 - 4 * 5 = 287 287, so 28 – 4 * 7 = 0 So, 30873 is divisible by 41.
Example
#include <iostream> #include <algorithm> using namespace std; bool isDivisibleBy41(long long int n) { while (n / 100) { int last = n % 10; n /= 10; // Truncating the number n -= last * 4; } return (n % 41 == 0); } int main() { long long number = 104413920565933; if(isDivisibleBy41(number)) cout << "Divisible"; else cout << "Not Divisible"; }
Output
Divisible
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