What is 45 mod 4?

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 4 is 1.

How to compute 45 mod 4?

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 / 4 = 11.25
  2. ⌊11.25⌋ = 11 (We only keep the integer part)
  3. 4 × 11 = 44
  4. 45 - 44 = 1 (Subtracting gives us the remainder)

In short: 45 − (4 × ⌊45 / 4⌋) = 1

Is 45 divisible by 4?

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 4 is 1, this indicates that dividing 45 by 4 leaves a remainder of 1. Therefore, no, since the remainder isn't zero, 45 is not divisible by 4.