What is 3 mod 39?

How to compute 3 mod 39?

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. 3 / 39 = 0.076923076923077
2. ⌊0.076923076923077⌋ = 0 (We only keep the integer part)
3. 39 × 0 = 0
4. 3 - 0 = 3 (Subtracting gives us the remainder)

In short: 3 − (39 × ⌊3 / 39⌋) = 3

Is 3 divisible by 39?

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

Given that the result of 3 mod 39 is 3, this indicates that dividing 3 by 39 leaves a remainder of 3. Therefore, no, since the remainder isn't zero, 3 is not divisible by 39.