What is 13 mod 5?

How to compute 13 mod 5?

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. 13 / 5 = 2.6
2. ⌊2.6⌋ = 2 (We only keep the integer part)
3. 5 × 2 = 10
4. 13 - 10 = 3 (Subtracting gives us the remainder)

In short: 13 − (5 × ⌊13 / 5⌋) = 3

Is 13 divisible by 5?

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

Given that the result of 13 mod 5 is 3, this indicates that dividing 13 by 5 leaves a remainder of 3. Therefore, no, since the remainder isn't zero, 13 is not divisible by 5.