What is 71 mod 6?

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

The result of 71 mod 6 is 5.

How to compute 71 mod 6?

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. 71 / 6 = 11.833333333333
  2. ⌊11.833333333333⌋ = 11 (We only keep the integer part)
  3. 6 × 11 = 66
  4. 71 - 66 = 5 (Subtracting gives us the remainder)

In short: 71 − (6 × ⌊71 / 6⌋) = 5

Is 71 divisible by 6?

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

Given that the result of 71 mod 6 is 5, this indicates that dividing 71 by 6 leaves a remainder of 5. Therefore, no, since the remainder isn't zero, 71 is not divisible by 6.