What is 16 mod 8?

How to compute 16 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. 16 / 8 = 2
2. ⌊2⌋ = 2 (We only keep the integer part)
3. 8 × 2 = 16
4. 16 - 16 = 0 (Subtracting gives us the remainder)

In short: 16 − (8 × ⌊16 / 8⌋) = 0

Is 16 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 16 mod 8 is 0, this indicates that dividing 16 by 8 leaves no remainder. Therefore, yes, 16 is indeed divisible by 8.