What is 22 mod 2?

How to compute 22 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. 22 / 2 = 11
2. ⌊11⌋ = 11 (We only keep the integer part)
3. 2 × 11 = 22
4. 22 - 22 = 0 (Subtracting gives us the remainder)

In short: 22 − (2 × ⌊22 / 2⌋) = 0

Is 22 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 22 mod 2 is 0, this indicates that dividing 22 by 2 leaves no remainder. Therefore, yes, 22 is indeed divisible by 2.