What is 76 mod 8?

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 8 is 4.

How to compute 76 mod 8?

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 / 8 = 9.5
  2. ⌊9.5⌋ = 9 (We only keep the integer part)
  3. 8 × 9 = 72
  4. 76 - 72 = 4 (Subtracting gives us the remainder)

In short: 76 − (8 × ⌊76 / 8⌋) = 4

Is 76 divisible by 8?

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 8 is 4, this indicates that dividing 76 by 8 leaves a remainder of 4. Therefore, no, since the remainder isn't zero, 76 is not divisible by 8.