What is 82 mod 2?

How to compute 82 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. 82 / 2 = 41
2. ⌊41⌋ = 41 (We only keep the integer part)
3. 2 × 41 = 82
4. 82 - 82 = 0 (Subtracting gives us the remainder)

In short: 82 − (2 × ⌊82 / 2⌋) = 0

Is 82 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 82 mod 2 is 0, this indicates that dividing 82 by 2 leaves no remainder. Therefore, yes, 82 is indeed divisible by 2.