The correct name for the ionic compound FeBr3 is iron(III) bromide.
This is because the iron (Fe) is in the +3 oxidation state in this compound, which is indicated by the (III). The bromide ions (Br) have a charge of -1 each, and there are three bromide ions to balance the +3 charge from the iron. Thus, the compound is correctly named iron(III) bromide.