Here's why:
* Nitrogen (N) is in Group 15 of the periodic table and forms a -3 charge as an anion (nitride).
* Bromine (Br) is in Group 17 and forms a -1 charge as an anion (bromide).
* To balance the charges, we need three bromide ions (3 x -1 = -3) to match the -3 charge of one nitride ion.
Therefore, the formula is NBr₃.