What is 54 mod 8?

Often represented by the operator "mod", the modulo is a mathematical operation that gives the remainder of an integer division.

The result of 54 mod 8 is 6.

How to compute 54 mod 8?

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. 54 / 8 = 6.75
  2. ⌊6.75⌋ = 6 (We only keep the integer part)
  3. 8 × 6 = 48
  4. 54 - 48 = 6 (Subtracting gives us the remainder)

In short: 54 − (8 × ⌊54 / 8⌋) = 6

Is 54 divisible by 8?

A number is said to be divisible by another number, if the remainder of the division is zero.

Given that the result of 54 mod 8 is 6, this indicates that dividing 54 by 8 leaves a remainder of 6. Therefore, no, since the remainder isn't zero, 54 is not divisible by 8.