What is 8 mod 2?

How to compute 8 mod 2?

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. 8 / 2 = 4
2. ⌊4⌋ = 4 (We only keep the integer part)
3. 2 × 4 = 8
4. 8 - 8 = 0 (Subtracting gives us the remainder)

In short: 8 − (2 × ⌊8 / 2⌋) = 0

Is 8 divisible by 2?

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

Given that the result of 8 mod 2 is 0, this indicates that dividing 8 by 2 leaves no remainder. Therefore, yes, 8 is indeed divisible by 2.