What is 27 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 27 mod 7 is 6.

How to compute 27 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. 27 / 7 = 3.8571428571429
  2. ⌊3.8571428571429⌋ = 3 (We only keep the integer part)
  3. 7 × 3 = 21
  4. 27 - 21 = 6 (Subtracting gives us the remainder)

In short: 27 − (7 × ⌊27 / 7⌋) = 6

Is 27 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 27 mod 7 is 6, this indicates that dividing 27 by 7 leaves a remainder of 6. Therefore, no, since the remainder isn't zero, 27 is not divisible by 7.