The chemical name for FeBr3 is Iron(III) Bromide.
FeBr3 is an ionic compound composed of iron (Fe) and bromine (Br). Because iron is a transition metal that can have multiple oxidation states, it's crucial to specify the charge on the iron ion. In FeBr3, iron has a +3 charge (indicated by the Roman numeral III), and bromine has a -1 charge. The "bromide" part of the name indicates the negatively charged bromine ion.
Therefore, the correct and complete chemical name is Iron(III) Bromide.