What is 90 mod 50?

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 50 is 40.

How to compute 90 mod 50?

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 / 50 = 1.8
  2. ⌊1.8⌋ = 1 (We only keep the integer part)
  3. 50 × 1 = 50
  4. 90 - 50 = 40 (Subtracting gives us the remainder)

In short: 90 − (50 × ⌊90 / 50⌋) = 40

Is 90 divisible by 50?

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 50 is 40, this indicates that dividing 90 by 50 leaves a remainder of 40. Therefore, no, since the remainder isn't zero, 90 is not divisible by 50.