What is 33 mod 5?

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

The result of 33 mod 5 is 3.

How to compute 33 mod 5?

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. 33 / 5 = 6.6
  2. ⌊6.6⌋ = 6 (We only keep the integer part)
  3. 5 × 6 = 30
  4. 33 - 30 = 3 (Subtracting gives us the remainder)

In short: 33 − (5 × ⌊33 / 5⌋) = 3

Is 33 divisible by 5?

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

Given that the result of 33 mod 5 is 3, this indicates that dividing 33 by 5 leaves a remainder of 3. Therefore, no, since the remainder isn't zero, 33 is not divisible by 5.