Im having trouble with the Running product in my C++ program. Where is the question:
2. Write a program that repeatedly reads in integer values until a value less than or equal to zero is entered. For each value, it should print the product of the numbers from 1 to the given value. An ending message should be printed. Use a for statement to help compute the running product. A sample run might be (user input in bold):

Enter an integer: 3

The product of numbers from 1 to 3 is 6

Enter an integer: 9

The product of numbers from 1 to 9 is 362880

Enter an integer: 12

The product of numbers from 1 to 12 is 479001600

Enter an integer: 5

The product of numbers from 1 to 5 is 120

Enter an integer: -3

Thank Goodness!

Now here is the part in the program where i believe im having a little trouble. I'll copy and paste below where i believe my problem is occuring:

In my function definition i have this:

void print_product ( int user_number, int product)
{

int count;

product = 1;


cout << "\nThe product of numbers from 1 to " << user_number << " is " << product;

for (count = 1; count <= user_number; count++)
{


product = count * product;

cout << product;

}


And as for a example when i run this program like this ill get a answer like:

Enter an integer: 5

The product of numbers from 1 to 5 is 112624120 <---- which is incorrect.

So if anyone could help me to fix this problem i would really appreciate it.

Thank You