What is 59 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 59 mod 8 is 3.

How to compute 59 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. 59 / 8 = 7.375
  2. ⌊7.375⌋ = 7 (We only keep the integer part)
  3. 8 × 7 = 56
  4. 59 - 56 = 3 (Subtracting gives us the remainder)

In short: 59 − (8 × ⌊59 / 8⌋) = 3

Is 59 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 59 mod 8 is 3, this indicates that dividing 59 by 8 leaves a remainder of 3. Therefore, no, since the remainder isn't zero, 59 is not divisible by 8.