What is 100 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 100 mod 45 is 10.

How to compute 100 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. 100 / 45 = 2.2222222222222
  2. ⌊2.2222222222222⌋ = 2 (We only keep the integer part)
  3. 45 × 2 = 90
  4. 100 - 90 = 10 (Subtracting gives us the remainder)

In short: 100 − (45 × ⌊100 / 45⌋) = 10

Is 100 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 100 mod 45 is 10, this indicates that dividing 100 by 45 leaves a remainder of 10. Therefore, no, since the remainder isn't zero, 100 is not divisible by 45.