What is 30 mod 4?

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

The result of 30 mod 4 is 2.

How to compute 30 mod 4?

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. 30 / 4 = 7.5
  2. ⌊7.5⌋ = 7 (We only keep the integer part)
  3. 4 × 7 = 28
  4. 30 - 28 = 2 (Subtracting gives us the remainder)

In short: 30 − (4 × ⌊30 / 4⌋) = 2

Is 30 divisible by 4?

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

Given that the result of 30 mod 4 is 2, this indicates that dividing 30 by 4 leaves a remainder of 2. Therefore, no, since the remainder isn't zero, 30 is not divisible by 4.