What is 34 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 34 mod 5 is 4.

How to compute 34 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. 34 / 5 = 6.8
  2. ⌊6.8⌋ = 6 (We only keep the integer part)
  3. 5 × 6 = 30
  4. 34 - 30 = 4 (Subtracting gives us the remainder)

In short: 34 − (5 × ⌊34 / 5⌋) = 4

Is 34 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 34 mod 5 is 4, this indicates that dividing 34 by 5 leaves a remainder of 4. Therefore, no, since the remainder isn't zero, 34 is not divisible by 5.