# What is 15 mod 4?

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

The result of 15 mod 4 is **3**.

## How to compute 15 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)

- 15 / 4 = 3.75
- ⌊3.75⌋ = 3 (We only keep the integer part)
- 4 × 3 = 12
- 15 - 12 = 3 (Subtracting gives us the remainder)

In short: 15 − (4 × ⌊15 / 4⌋) = **3**

## Is 15 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 15 mod 4 is 3, this indicates that dividing 15 by 4 leaves a remainder of 3. Therefore, **no**, since the remainder isn't zero, 15 is not divisible by 4.