# What is 27 mod 6?

Often represented by the operator "`mod`", the modulo is a mathematical operation that gives the remainder of an integer division.

The result of 27 mod 6 is **3**.

## How to compute 27 mod 6?

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)

- 27 / 6 = 4.5
- ⌊4.5⌋ = 4 (We only keep the integer part)
- 6 × 4 = 24
- 27 - 24 = 3 (Subtracting gives us the remainder)

In short: 27 − (6 × ⌊27 / 6⌋) = **3**

## Is 27 divisible by 6?

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

Given that the result of 27 mod 6 is 3, this indicates that dividing 27 by 6 leaves a remainder of 3. Therefore, **no**, since the remainder isn't zero, 27 is not divisible by 6.