What is 63 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 63 mod 7 is 0.

How to compute 63 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. 63 / 7 = 9
  2. ⌊9⌋ = 9 (We only keep the integer part)
  3. 7 × 9 = 63
  4. 63 - 63 = 0 (Subtracting gives us the remainder)

In short: 63 − (7 × ⌊63 / 7⌋) = 0

Is 63 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 63 mod 7 is 0, this indicates that dividing 63 by 7 leaves no remainder. Therefore, yes, 63 is indeed divisible by 7.