What is 33 mod 3?

How to compute 33 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:

$\mathrm{Remainder}=N-(M\times \lfloor \frac{N}{M}\rfloor )$

(where N is the dividend, M is the divisor and $\lfloor \frac{N}{M}\rfloor$ represents the integer part of the quotient)

1. 33 / 3 = 11
2. ⌊11⌋ = 11 (We only keep the integer part)
3. 3 × 11 = 33
4. 33 - 33 = 0 (Subtracting gives us the remainder)

In short: 33 − (3 × ⌊33 / 3⌋) = 0

Is 33 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 33 mod 3 is 0, this indicates that dividing 33 by 3 leaves no remainder. Therefore, yes, 33 is indeed divisible by 3.