import java.util.*;
public class BallonNumber {
public static void main(String args[])
{
    Scanner sc=new Scanner(System.in);
    int a[]=new int[10];
    int count=0;
    int prod=1,i;
    for(i=0;i<10;i++)
    {
        a[i]=sc.nextInt();
    }
    for(i=0;i<10;i++)
    {
        prod=prod*a[i];
    }
    //System.out.println(prod);
    for(i=1;i<=prod;i++)
    {
        if (prod%i==0)
        {
            count+=1;

        }
    }
    System.out.println(count);
}
}
So this is my code but it says wrong answer but I get the same answer in ide.What is wrong with this code

Please estimate max value of prod. Then compare it with int capacity.