What is 9 mod 17?

How to compute 9 mod 17?

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. 9 / 17 = 0.52941176470588
2. ⌊0.52941176470588⌋ = 0 (We only keep the integer part)
3. 17 × 0 = 0
4. 9 - 0 = 9 (Subtracting gives us the remainder)

In short: 9 − (17 × ⌊9 / 17⌋) = 9

Is 9 divisible by 17?

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

Given that the result of 9 mod 17 is 9, this indicates that dividing 9 by 17 leaves a remainder of 9. Therefore, no, since the remainder isn't zero, 9 is not divisible by 17.