What is 90 mod 45?

Often represented by the operator "mod", the modulo is a mathematical operation that gives the remainder of an integer division.

The result of 90 mod 45 is 0.

How to compute 90 mod 45?

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. 90 / 45 = 2
  2. ⌊2⌋ = 2 (We only keep the integer part)
  3. 45 × 2 = 90
  4. 90 - 90 = 0 (Subtracting gives us the remainder)

In short: 90 − (45 × ⌊90 / 45⌋) = 0

Is 90 divisible by 45?

A number is said to be divisible by another number, if the remainder of the division is zero.

Given that the result of 90 mod 45 is 0, this indicates that dividing 90 by 45 leaves no remainder. Therefore, yes, 90 is indeed divisible by 45.