What is 30 mod 5?

How to compute 30 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. 30 / 5 = 6
2. ⌊6⌋ = 6 (We only keep the integer part)
3. 5 × 6 = 30
4. 30 - 30 = 0 (Subtracting gives us the remainder)

In short: 30 − (5 × ⌊30 / 5⌋) = 0

Is 30 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 30 mod 5 is 0, this indicates that dividing 30 by 5 leaves no remainder. Therefore, yes, 30 is indeed divisible by 5.