What is 31 mod 12?

How to compute 31 mod 12?

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. 31 / 12 = 2.5833333333333
2. ⌊2.5833333333333⌋ = 2 (We only keep the integer part)
3. 12 × 2 = 24
4. 31 - 24 = 7 (Subtracting gives us the remainder)

In short: 31 − (12 × ⌊31 / 12⌋) = 7

Is 31 divisible by 12?

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

Given that the result of 31 mod 12 is 7, this indicates that dividing 31 by 12 leaves a remainder of 7. Therefore, no, since the remainder isn't zero, 31 is not divisible by 12.