What is 41 mod 4?

How to compute 41 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. 41 / 4 = 10.25
2. ⌊10.25⌋ = 10 (We only keep the integer part)
3. 4 × 10 = 40
4. 41 - 40 = 1 (Subtracting gives us the remainder)

In short: 41 − (4 × ⌊41 / 4⌋) = 1

Is 41 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 41 mod 4 is 1, this indicates that dividing 41 by 4 leaves a remainder of 1. Therefore, no, since the remainder isn't zero, 41 is not divisible by 4.