What is 18 mod 8?

How to compute 18 mod 8?

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. 18 / 8 = 2.25
2. ⌊2.25⌋ = 2 (We only keep the integer part)
3. 8 × 2 = 16
4. 18 - 16 = 2 (Subtracting gives us the remainder)

In short: 18 − (8 × ⌊18 / 8⌋) = 2

Is 18 divisible by 8?

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

Given that the result of 18 mod 8 is 2, this indicates that dividing 18 by 8 leaves a remainder of 2. Therefore, no, since the remainder isn't zero, 18 is not divisible by 8.