What is 59 mod 3?

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

The result of 59 mod 3 is 2.

How to compute 59 mod 3?

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. 59 / 3 = 19.666666666667
  2. ⌊19.666666666667⌋ = 19 (We only keep the integer part)
  3. 3 × 19 = 57
  4. 59 - 57 = 2 (Subtracting gives us the remainder)

In short: 59 − (3 × ⌊59 / 3⌋) = 2

Is 59 divisible by 3?

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

Given that the result of 59 mod 3 is 2, this indicates that dividing 59 by 3 leaves a remainder of 2. Therefore, no, since the remainder isn't zero, 59 is not divisible by 3.