What is 67 mod 67?

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

The result of 67 mod 67 is 0.

How to compute 67 mod 67?

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. 67 / 67 = 1
  2. ⌊1⌋ = 1 (We only keep the integer part)
  3. 67 × 1 = 67
  4. 67 - 67 = 0 (Subtracting gives us the remainder)

In short: 67 − (67 × ⌊67 / 67⌋) = 0

Is 67 divisible by 67?

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

Given that the result of 67 mod 67 is 0, this indicates that dividing 67 by 67 leaves no remainder. Therefore, yes, 67 is indeed divisible by 67.