What is 46 mod 6?

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

The result of 46 mod 6 is 4.

How to compute 46 mod 6?

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. 46 / 6 = 7.6666666666667
  2. ⌊7.6666666666667⌋ = 7 (We only keep the integer part)
  3. 6 × 7 = 42
  4. 46 - 42 = 4 (Subtracting gives us the remainder)

In short: 46 − (6 × ⌊46 / 6⌋) = 4

Is 46 divisible by 6?

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

Given that the result of 46 mod 6 is 4, this indicates that dividing 46 by 6 leaves a remainder of 4. Therefore, no, since the remainder isn't zero, 46 is not divisible by 6.