What is 45 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 45 mod 8 is 5.

How to compute 45 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. 45 / 8 = 5.625
  2. ⌊5.625⌋ = 5 (We only keep the integer part)
  3. 8 × 5 = 40
  4. 45 - 40 = 5 (Subtracting gives us the remainder)

In short: 45 − (8 × ⌊45 / 8⌋) = 5

Is 45 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 45 mod 8 is 5, this indicates that dividing 45 by 8 leaves a remainder of 5. Therefore, no, since the remainder isn't zero, 45 is not divisible by 8.