What is 9 mod 9?

How to compute 9 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. 9 / 9 = 1
2. ⌊1⌋ = 1 (We only keep the integer part)
3. 9 × 1 = 9
4. 9 - 9 = 0 (Subtracting gives us the remainder)

In short: 9 − (9 × ⌊9 / 9⌋) = 0

Is 9 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 9 mod 9 is 0, this indicates that dividing 9 by 9 leaves no remainder. Therefore, yes, 9 is indeed divisible by 9.