What is 68 mod 3?
Often represented by the operator "mod", the modulo is a mathematical operation that gives the remainder of an integer division.
The result of 68 mod 3 is 2.
How to compute 68 mod 3?
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)
- 68 / 3 = 22.666666666667
- ⌊22.666666666667⌋ = 22 (We only keep the integer part)
- 3 × 22 = 66
- 68 - 66 = 2 (Subtracting gives us the remainder)
In short: 68 − (3 × ⌊68 / 3⌋) = 2
Is 68 divisible by 3?
A number is said to be divisible by another number, if the remainder of the division is zero.
Given that the result of 68 mod 3 is 2, this indicates that dividing 68 by 3 leaves a remainder of 2. Therefore, no, since the remainder isn't zero, 68 is not divisible by 3.