What is 11 mod 12?

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

The result of 11 mod 12 is 11.

How to compute 11 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:

Remainder = N − ( M × ⌊ N M ⌋ )

(where N is the dividend, M is the divisor and ⌊ N M ⌋ represents the integer part of the quotient)

  1. 11 / 12 = 0.91666666666667
  2. ⌊0.91666666666667⌋ = 0 (We only keep the integer part)
  3. 12 × 0 = 0
  4. 11 - 0 = 11 (Subtracting gives us the remainder)

In short: 11 − (12 × ⌊11 / 12⌋) = 11

Is 11 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 11 mod 12 is 11, this indicates that dividing 11 by 12 leaves a remainder of 11. Therefore, no, since the remainder isn't zero, 11 is not divisible by 12.