What is the difference in the meaning of the following sentences:

"I found the map, but one of its corners had been torn away."

"I found the map, but one of its corners had been torn off."

"I found the map, but one of its corners had been torn down."

"I found the map, but one of its corners had been torn apart."

Does "torn away" means that the corner of the page was torn apart/down and then it was lost?