In a nuclear fission reaction, an atomic nucleus splits into two or more smaller nuclei, along with a few neutrons and a large amount of energy. This process results in a change in both the atomic number and the mass number of the resulting nuclei.
Thus, the correct answer is: At least one of these quantities must change during nuclear fission.
This is because the original nucleus (typically a heavy isotope like Uranium-235) has a specific atomic number (which defines the element) and mass number (which is the total count of protons and neutrons). After fission, the products will generally have different atomic numbers and mass numbers.