What is 19 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 19 mod 6 is 1.
How to compute 19 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:
(where N is the dividend, M is the divisor and represents the integer part of the quotient)
- 19 / 6 = 3.1666666666667
- ⌊3.1666666666667⌋ = 3 (We only keep the integer part)
- 6 × 3 = 18
- 19 - 18 = 1 (Subtracting gives us the remainder)
In short: 19 − (6 × ⌊19 / 6⌋) = 1
Is 19 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 19 mod 6 is 1, this indicates that dividing 19 by 6 leaves a remainder of 1. Therefore, no, since the remainder isn't zero, 19 is not divisible by 6.