nonmultipleoffour

A number is considered nonmultipleoffour if it is not divisible by four without a remainder. In other words, when a number is divided by four, the result is not a whole number. For example, the numbers 1, 2, 3, 5, 6, 7, 9, 10, 11, and so on, are all nonmultipleoffour.

Mathematically, a number x is a nonmultipleoffour if x mod 4 is not equal to 0. The modulo operator (mod) gives the remainder of a division. If the remainder is 0 when dividing by 4, the number is a multiple of four. If the remainder is 1, 2, or 3, the number is a nonmultipleoffour.

The set of nonmultipleoffour numbers is infinite. This set includes all integers that do not end in 00, 04, 08, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, or 92 when considering their last two digits, though this rule only applies to numbers greater than or equal to 100. A simpler way to determine if a number is a multiple of four is to check if the number formed by its last two digits is divisible by four. If it is, the entire number is divisible by four. If the number formed by the last two digits is not divisible by four, then the entire number is a nonmultipleoffour. For numbers less than 100, one simply checks if the number itself is divisible by four.