What is 40 mod 9?

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

The result of 40 mod 9 is 4.

How to compute 40 mod 9?

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. 40 / 9 = 4.4444444444444
  2. ⌊4.4444444444444⌋ = 4 (We only keep the integer part)
  3. 9 × 4 = 36
  4. 40 - 36 = 4 (Subtracting gives us the remainder)

In short: 40 − (9 × ⌊40 / 9⌋) = 4

Is 40 divisible by 9?

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

Given that the result of 40 mod 9 is 4, this indicates that dividing 40 by 9 leaves a remainder of 4. Therefore, no, since the remainder isn't zero, 40 is not divisible by 9.