👉 A dominating number is a positive integer that divides exactly into another positive integer. In other words, if n divides m exactly, then m = nk for some nonnegative integers k and n. For example, 4 divides 16 exactly, so 4 is a dominating number. Similarly, 7 divides 35 exactly, so 7 is also a dominating number. Dominator numbers are important in combinatorial problems such as counting the number of ways to choose subsets from a set