What is 57 mod 33?

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

The result of 57 mod 33 is 24.

How to compute 57 mod 33?

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. 57 / 33 = 1.7272727272727
  2. ⌊1.7272727272727⌋ = 1 (We only keep the integer part)
  3. 33 × 1 = 33
  4. 57 - 33 = 24 (Subtracting gives us the remainder)

In short: 57 − (33 × ⌊57 / 33⌋) = 24

Is 57 divisible by 33?

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

Given that the result of 57 mod 33 is 24, this indicates that dividing 57 by 33 leaves a remainder of 24. Therefore, no, since the remainder isn't zero, 57 is not divisible by 33.