What is 22 mod 3?

How to compute 22 mod 3?

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 / 3 = 7.3333333333333
2. ⌊7.3333333333333⌋ = 7 (We only keep the integer part)
3. 3 × 7 = 21
4. 22 - 21 = 1 (Subtracting gives us the remainder)

In short: 22 − (3 × ⌊22 / 3⌋) = 1

Is 22 divisible by 3?

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 3 is 1, this indicates that dividing 22 by 3 leaves a remainder of 1. Therefore, no, since the remainder isn't zero, 22 is not divisible by 3.