What is 76 mod 4?

How to compute 76 mod 4?

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. 76 / 4 = 19
2. ⌊19⌋ = 19 (We only keep the integer part)
3. 4 × 19 = 76
4. 76 - 76 = 0 (Subtracting gives us the remainder)

In short: 76 − (4 × ⌊76 / 4⌋) = 0

Is 76 divisible by 4?

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

Given that the result of 76 mod 4 is 0, this indicates that dividing 76 by 4 leaves no remainder. Therefore, yes, 76 is indeed divisible by 4.