What is 86 mod 30?

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

The result of 86 mod 30 is 26.

How to compute 86 mod 30?

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. 86 / 30 = 2.8666666666667
  2. ⌊2.8666666666667⌋ = 2 (We only keep the integer part)
  3. 30 × 2 = 60
  4. 86 - 60 = 26 (Subtracting gives us the remainder)

In short: 86 − (30 × ⌊86 / 30⌋) = 26

Is 86 divisible by 30?

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

Given that the result of 86 mod 30 is 26, this indicates that dividing 86 by 30 leaves a remainder of 26. Therefore, no, since the remainder isn't zero, 86 is not divisible by 30.