C++ in the following code i'm confused at to why the first value of k=1 produces the value prod = 1. for i <= n wouldn't that be 2<=1 and the for loop wouldnt happen? And even if it did shouldn't prod = prod *2 ? Please explain. int factorial(int n) { int prod = 1; for (int i = 2; i <= n; i++) prod *= i; return prod; } int main() { for (int k = 1; k <= 6; k++) cout << "The factorial of " << k << " is " << factorial(k) << endl; }