What is 66 mod 43?

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 43 is 23.

How to compute 66 mod 43?

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 / 43 = 1.5348837209302
  2. ⌊1.5348837209302⌋ = 1 (We only keep the integer part)
  3. 43 × 1 = 43
  4. 66 - 43 = 23 (Subtracting gives us the remainder)

In short: 66 − (43 × ⌊66 / 43⌋) = 23

Is 66 divisible by 43?

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 43 is 23, this indicates that dividing 66 by 43 leaves a remainder of 23. Therefore, no, since the remainder isn't zero, 66 is not divisible by 43.