What is 40 mod 7?

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 7 is 5.

How to compute 40 mod 7?

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 / 7 = 5.7142857142857
  2. ⌊5.7142857142857⌋ = 5 (We only keep the integer part)
  3. 7 × 5 = 35
  4. 40 - 35 = 5 (Subtracting gives us the remainder)

In short: 40 − (7 × ⌊40 / 7⌋) = 5

Is 40 divisible by 7?

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 7 is 5, this indicates that dividing 40 by 7 leaves a remainder of 5. Therefore, no, since the remainder isn't zero, 40 is not divisible by 7.