What is 17 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 17 mod 7 is 3.

How to compute 17 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. 17 / 7 = 2.4285714285714
  2. ⌊2.4285714285714⌋ = 2 (We only keep the integer part)
  3. 7 × 2 = 14
  4. 17 - 14 = 3 (Subtracting gives us the remainder)

In short: 17 − (7 × ⌊17 / 7⌋) = 3

Is 17 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 17 mod 7 is 3, this indicates that dividing 17 by 7 leaves a remainder of 3. Therefore, no, since the remainder isn't zero, 17 is not divisible by 7.