Im a noob but i still have some remnants of basic physics notions from highschool, and all the complex answers that have been given so far to the OP are of no help to him, its obvious that he needs some basic explanations of some more basic notions before starting to answer his specific question. (and it's allright that he doesnt have them, not everybody is a physics geek)
Revolink, albeit late in the thread, is the first and only so far to give those explanations obviously needed by OP to clarify his understanting.
I will try go down to some even more basic,vulgarised explanation that might help clarify OP's mind :
Among other factors, the impedance (expressed in Ohms, a resistance unit) of headphones will determine how difficult they will be driven by MP3 players. The higher their impedance, the more resistance they will have to electrical input, and the more output power they will need to achieve similar volume levels to headphones with lesser impedance (most of the time, as, like other people have said in this thread, the efficiency of headphones is affected by more factors than only impedance).
Now i am also a noob with lacking physics knowledge and i'm wondering :
In what unit is expressed the "power" (electrical power usually is in Watts, right?) put out by digital audio players and amps through their headphone-out/speakers-out ? How to spot it in DAPs and headamps specs? It seems impedance of headphones is almost always specified, but not headamps and DAPs power output, or im missing something?
EDIT:
To the OP : Bottom line, in case you still didnt get it : "ohms of power", and "More ohms or Impedance is required to drive those headphones" are pure nonsense and express a profound lack of understanding of basic physics.
Ohm is a unit of resistance and impedance (which arent the same thing but i dont know the difference!). Impedance is a "passive" caracteristic of a headphone that will help (along with sensitivity) to determine its efficiency, this is why a headphone impedance is almost always specified. Higher impedance phones usually need more POWER (an "active" specification of DAPs and amps, expressed in Watts??) from DAPs/amps output to drive them better compared to lesser impedance (thus usually more efficient) ones.
Now it should be a little clearer to you.
And please dont think im being condescendant, i couldnt be since im obviously not much better than you in the notions of physics department.