What is 7 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 7 mod 3 is 1.
How to compute 7 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)
- 7 / 3 = 2.3333333333333
- ⌊2.3333333333333⌋ = 2 (We only keep the integer part)
- 3 × 2 = 6
- 7 - 6 = 1 (Subtracting gives us the remainder)
In short: 7 − (3 × ⌊7 / 3⌋) = 1
Is 7 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 7 mod 3 is 1, this indicates that dividing 7 by 3 leaves a remainder of 1. Therefore, no, since the remainder isn't zero, 7 is not divisible by 3.