What is 38 mod 22?

How to compute 38 mod 22?

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. 38 / 22 = 1.7272727272727
2. ⌊1.7272727272727⌋ = 1 (We only keep the integer part)
3. 22 × 1 = 22
4. 38 - 22 = 16 (Subtracting gives us the remainder)

In short: 38 − (22 × ⌊38 / 22⌋) = 16

Is 38 divisible by 22?

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

Given that the result of 38 mod 22 is 16, this indicates that dividing 38 by 22 leaves a remainder of 16. Therefore, no, since the remainder isn't zero, 38 is not divisible by 22.