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# Count all prefixes of the given binary array which are divisible by x in C++

In this tutorial, we will be discussing a program to find the number of prefixes of the binary array which are divisible by x.

For this we will be provided with binary array and a value x. Our task is to find the number of elements whose prefixes are divisible by given value x.

## Example

#include <bits/stdc++.h> using namespace std; //counting the elements with prefixes //divisible by x int count_divx(int arr[], int n, int x){ int number = 0; int count = 0; for (int i = 0; i < n; i++) { number = number * 2 + arr[i]; //increasing count if ((number % x == 0)) count += 1; } return count; } int main(){ int arr[] = { 1, 0, 1, 0, 1, 1, 0 }; int n = sizeof(arr) / sizeof(arr[0]); int x = 2; cout << count_divx(arr, n, x); return 0; }

## Output

3

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