What is 7 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 7 mod 7 is 0.

How to compute 7 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. 7 / 7 = 1
  2. ⌊1⌋ = 1 (We only keep the integer part)
  3. 7 × 1 = 7
  4. 7 - 7 = 0 (Subtracting gives us the remainder)

In short: 7 − (7 × ⌊7 / 7⌋) = 0

Is 7 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 7 mod 7 is 0, this indicates that dividing 7 by 7 leaves no remainder. Therefore, yes, 7 is indeed divisible by 7.