What is 19 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 19 mod 8 is 3.

How to compute 19 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. 19 / 8 = 2.375
  2. ⌊2.375⌋ = 2 (We only keep the integer part)
  3. 8 × 2 = 16
  4. 19 - 16 = 3 (Subtracting gives us the remainder)

In short: 19 − (8 × ⌊19 / 8⌋) = 3

Is 19 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 19 mod 8 is 3, this indicates that dividing 19 by 8 leaves a remainder of 3. Therefore, no, since the remainder isn't zero, 19 is not divisible by 8.