What is 21 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 21 mod 6 is 3.
How to compute 21 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)
- 21 / 6 = 3.5
- ⌊3.5⌋ = 3 (We only keep the integer part)
- 6 × 3 = 18
- 21 - 18 = 3 (Subtracting gives us the remainder)
In short: 21 − (6 × ⌊21 / 6⌋) = 3
Is 21 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 21 mod 6 is 3, this indicates that dividing 21 by 6 leaves a remainder of 3. Therefore, no, since the remainder isn't zero, 21 is not divisible by 6.