What is 45 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 45 mod 5 is 0.

How to compute 45 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. 45 / 5 = 9
  2. ⌊9⌋ = 9 (We only keep the integer part)
  3. 5 × 9 = 45
  4. 45 - 45 = 0 (Subtracting gives us the remainder)

In short: 45 − (5 × ⌊45 / 5⌋) = 0

Is 45 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 45 mod 5 is 0, this indicates that dividing 45 by 5 leaves no remainder. Therefore, yes, 45 is indeed divisible by 5.