What is 84 mod 72?

Often represented by the operator "mod", the modulo is a mathematical operation that gives the remainder of an integer division.

The result of 84 mod 72 is 12.

How to compute 84 mod 72?

The simplest approach is to use the "mod" operator (often denoted as "%" in many programming languages), but you could do it manually in the following way:

Remainder = N − ( M × ⌊ N M ⌋ )

(where N is the dividend, M is the divisor and ⌊ N M ⌋ represents the integer part of the quotient)

  1. 84 / 72 = 1.1666666666667
  2. ⌊1.1666666666667⌋ = 1 (We only keep the integer part)
  3. 72 × 1 = 72
  4. 84 - 72 = 12 (Subtracting gives us the remainder)

In short: 84 − (72 × ⌊84 / 72⌋) = 12

Is 84 divisible by 72?

A number is said to be divisible by another number, if the remainder of the division is zero.

Given that the result of 84 mod 72 is 12, this indicates that dividing 84 by 72 leaves a remainder of 12. Therefore, no, since the remainder isn't zero, 84 is not divisible by 72.