What is 84 mod 4?

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 4 is 0.

How to compute 84 mod 4?

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 / 4 = 21
  2. ⌊21⌋ = 21 (We only keep the integer part)
  3. 4 × 21 = 84
  4. 84 - 84 = 0 (Subtracting gives us the remainder)

In short: 84 − (4 × ⌊84 / 4⌋) = 0

Is 84 divisible by 4?

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 4 is 0, this indicates that dividing 84 by 4 leaves no remainder. Therefore, yes, 84 is indeed divisible by 4.