What is 11 mod 4?

How to compute 11 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. 11 / 4 = 2.75
2. ⌊2.75⌋ = 2 (We only keep the integer part)
3. 4 × 2 = 8
4. 11 - 8 = 3 (Subtracting gives us the remainder)

In short: 11 − (4 × ⌊11 / 4⌋) = 3

Is 11 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 11 mod 4 is 3, this indicates that dividing 11 by 4 leaves a remainder of 3. Therefore, no, since the remainder isn't zero, 11 is not divisible by 4.