Please help me to solve a for loop problem

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C++

Use a for loop to write a program that calculates the product of 8 integers entered by the user.

the following code is not correct, Please help me

#include <iostream>
using namespace std;
int main() {
	
	int n;
	int x = 1;
	int sum=0;
	cout << "Please enter the prodect of 8 " << endl;
	while (x<=8)
	{
		cout << "Please enter integers ";
		cin >> n;
		sum= sum * n;
		x = x + 1;
	}
	cout << "The sum of the prodect is = " << sum << endl;
	system("pause");
	return 0;
}