What is 49 mod 9?

How to compute 49 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. 49 / 9 = 5.4444444444444
2. ⌊5.4444444444444⌋ = 5 (We only keep the integer part)
3. 9 × 5 = 45
4. 49 - 45 = 4 (Subtracting gives us the remainder)

In short: 49 − (9 × ⌊49 / 9⌋) = 4

Is 49 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 49 mod 9 is 4, this indicates that dividing 49 by 9 leaves a remainder of 4. Therefore, no, since the remainder isn't zero, 49 is not divisible by 9.