What is 34 mod 3?

How to compute 34 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. 34 / 3 = 11.333333333333
2. ⌊11.333333333333⌋ = 11 (We only keep the integer part)
3. 3 × 11 = 33
4. 34 - 33 = 1 (Subtracting gives us the remainder)

In short: 34 − (3 × ⌊34 / 3⌋) = 1

Is 34 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 34 mod 3 is 1, this indicates that dividing 34 by 3 leaves a remainder of 1. Therefore, no, since the remainder isn't zero, 34 is not divisible by 3.