What is 34 mod 9?

How to compute 34 mod 9?

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 / 9 = 3.7777777777778
2. ⌊3.7777777777778⌋ = 3 (We only keep the integer part)
3. 9 × 3 = 27
4. 34 - 27 = 7 (Subtracting gives us the remainder)

In short: 34 − (9 × ⌊34 / 9⌋) = 7

Is 34 divisible by 9?

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 9 is 7, this indicates that dividing 34 by 9 leaves a remainder of 7. Therefore, no, since the remainder isn't zero, 34 is not divisible by 9.