What is 19 mod 9?

How to compute 19 mod 9?

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. 19 / 9 = 2.1111111111111
2. ⌊2.1111111111111⌋ = 2 (We only keep the integer part)
3. 9 × 2 = 18
4. 19 - 18 = 1 (Subtracting gives us the remainder)

In short: 19 − (9 × ⌊19 / 9⌋) = 1

Is 19 divisible by 9?

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

Given that the result of 19 mod 9 is 1, this indicates that dividing 19 by 9 leaves a remainder of 1. Therefore, no, since the remainder isn't zero, 19 is not divisible by 9.