Trailing Zeroes in N!(1)

using System;
/*
    Problem 11. * Trailing Zeroes in N!
    Write a program that calculates with how many zeroes the factorial of a given number n has at its end.
    Your program should work well for very big numbers, e.g. n=100000. Examples:
    n       trailing zeroes of n!   explaination
    10      2                       3628800
    20      4                       2432902008176640000
    100000  24999                   think why
 */
class TrailingZeroesInNFactorial
{
    static void Main()
    {
        // the formula for finding trailing zeros in factorial is:
        // if n > 5  zeroes = n /5
        // if n > 5^2  zeroes = (n / 5^2) + (n / 5)
        // if n > 5^3  zeroes = (n / 5^3 )+ (n / 5^2) + (n / 5)
    // if n > 5^4  zeroes = (n / 5^4 )+ (n / 5^3) +  ....
        Console.Write("n = ");
        int n = int.Parse(Console.ReadLine());
        int zeroCounter = 0;
        int divide;
        int power = 0;

        while (true)
        {
            divide = n / (int)Math.Pow(5, power);
            if (divide > 0)
            {
                zeroCounter += divide;
            }
            else
            {
                break;
            }
            power++;
        }
        Console.WriteLine(zeroCounter);
    }
}