What is 66 mod 9?

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

The result of 66 mod 9 is 3.

How to compute 66 mod 9?

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. 66 / 9 = 7.3333333333333
  2. ⌊7.3333333333333⌋ = 7 (We only keep the integer part)
  3. 9 × 7 = 63
  4. 66 - 63 = 3 (Subtracting gives us the remainder)

In short: 66 − (9 × ⌊66 / 9⌋) = 3

Is 66 divisible by 9?

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

Given that the result of 66 mod 9 is 3, this indicates that dividing 66 by 9 leaves a remainder of 3. Therefore, no, since the remainder isn't zero, 66 is not divisible by 9.