What is 42 mod 5?

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

The result of 42 mod 5 is 2.

How to compute 42 mod 5?

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. 42 / 5 = 8.4
  2. ⌊8.4⌋ = 8 (We only keep the integer part)
  3. 5 × 8 = 40
  4. 42 - 40 = 2 (Subtracting gives us the remainder)

In short: 42 − (5 × ⌊42 / 5⌋) = 2

Is 42 divisible by 5?

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

Given that the result of 42 mod 5 is 2, this indicates that dividing 42 by 5 leaves a remainder of 2. Therefore, no, since the remainder isn't zero, 42 is not divisible by 5.