The factorial can be printed in compiler-generated message as:
template<int x> struct _;
int main() {
        _<Factorial<10>::value> __;
        return 0;
}
Error message:
prog.cpp:14:32: error: aggregate ‘_<3628800> __’ has incomplete type and cannot be defined
          _::value> __;
                                  ^
Here 3628800 is factorial of 10.
See it at ideone : http://ideone.com/094SJz
So are you looking for this?
EDIT:
Matthieu asked for a clever trick to both print the factorial AND let the compilation continue. Here is one attempt. It doesn't give any error, hence the compilation succeeds with one warning.
template<int factorial> 
struct _{ operator char() { return factorial + 256; } }; //always overflow
int main() {
        char(_<Factorial<5>::value>());
        return 0;
}
It gets compiled with this warning:
main.cpp: In instantiation of '_::operator char() [with int
  factorial = 120]': main.cpp:16:39:   required from here
  main.cpp:13:48: warning: overflow in implicit constant conversion
  [-Woverflow]  struct _{ operator char() { return factorial + 256; } };
  //always overflow
Here 120 is factorial of 5.
Demo at ideone : http://coliru.stacked-crooked.com/a/c4d703a670060545
You could just write a nice macro, and use it instead as:
#define PRINT_AS_WARNING(constant) char(_<constant>())    
int main() 
{
         PRINT_AS_WARNING(Factorial<5>::value);
         return 0;
}
That looks great.