What is 76 mod 42?

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

The result of 76 mod 42 is 34.

How to compute 76 mod 42?

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. 76 / 42 = 1.8095238095238
  2. ⌊1.8095238095238⌋ = 1 (We only keep the integer part)
  3. 42 × 1 = 42
  4. 76 - 42 = 34 (Subtracting gives us the remainder)

In short: 76 − (42 × ⌊76 / 42⌋) = 34

Is 76 divisible by 42?

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

Given that the result of 76 mod 42 is 34, this indicates that dividing 76 by 42 leaves a remainder of 34. Therefore, no, since the remainder isn't zero, 76 is not divisible by 42.