What is 87 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 87 mod 6 is 3.

How to compute 87 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. 87 / 6 = 14.5
  2. ⌊14.5⌋ = 14 (We only keep the integer part)
  3. 6 × 14 = 84
  4. 87 - 84 = 3 (Subtracting gives us the remainder)

In short: 87 − (6 × ⌊87 / 6⌋) = 3

Is 87 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 87 mod 6 is 3, this indicates that dividing 87 by 6 leaves a remainder of 3. Therefore, no, since the remainder isn't zero, 87 is not divisible by 6.