Generally, I see Avogadro's constant being given with units mol-1. Now to me that doesn't seem very... descriptive. But as they say there's more than one way to skin the cat, so I was wondering if these other ways of thinking of it are correct: The conversion factor from grams to amu. The mass of an atom/molecule in amu divide by Avogadro's constant is it's mass in grams? Molar mass is the ratio of of mass per particle? IE: amu/particle, 12amu/particle for carbon Equivalently, Avogadro's Constant is the number of particles in a mol, so rather than mol-1 it's particles*mol-1? There is an invisible unit in A's constant we just don't bother writing? Whenever I do math with Avogadro's constant my numbers seem to come out, but I guess I just never wrapped my head around it all the way.