What is 34 mod 4?

How to compute 34 mod 4?

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 / 4 = 8.5
2. ⌊8.5⌋ = 8 (We only keep the integer part)
3. 4 × 8 = 32
4. 34 - 32 = 2 (Subtracting gives us the remainder)

In short: 34 − (4 × ⌊34 / 4⌋) = 2

Is 34 divisible by 4?

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 4 is 2, this indicates that dividing 34 by 4 leaves a remainder of 2. Therefore, no, since the remainder isn't zero, 34 is not divisible by 4.