Unlocked vs factory unlocked iphone?

So I'm thinking about getting an iPhone but I wanted to know if I could take an unlocked iPhone to the Verizon store an them set it up for me? I have no clue what the difference between factory unlocked, unlocked, and locked iPhones are

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  • Will the factory unlocked iphone 4 work with any carriers? I want to take this phone to a different country. If i get a sim card there, will the iphone 4 still work if it has been factory unlocked?
  • Will an unlocked iphone 4S work for tmobile if it isn't factory unlocked? I want to get an iPhone 4S and my friend has the iPhone 4 unlocked but i'm worried that if i get it non-factory unlocked it won't work. My uncle tried to do it a couple of months ago and apple said that if it was factory unlocked every time the phone shut off or died it would reset. I was just wondering if the same thing would happen if it wasn't factory unlocked? So if I get it unlocked everytime it will shut off it will reset? That is what i'm worried about.
  • Why factory unlocked iphone 4s is showing that the iphone is not activated? I bought factory unlocked iphone 4s on ebay for my sister-in-law who is in europe. And the seller assured that it is factory unlocked and will work perfectly. I have non activated sprint sim card and when i inserted it in to the iphone it showed that "the iphone is not activated.contact the carrier". What does it mean? Does it mean that the phone is not factory unlocked?
  • Verizon's iphone 5 or factory unlocked iphone 5? Verizon gives iphone 5 at 199$ and the factory unlocked iphone 5 costs 649 $. the verizon's iphone is already unlocked too. so, why should anyone by an iphone for 649$ when its available for much cheaper rate as 199$?