What is 7 mod 4?
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 4 is 3.
How to compute 7 mod 4?
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 / 4 = 1.75
- ⌊1.75⌋ = 1 (We only keep the integer part)
- 4 × 1 = 4
- 7 - 4 = 3 (Subtracting gives us the remainder)
In short: 7 − (4 × ⌊7 / 4⌋) = 3
Is 7 divisible by 4?
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 4 is 3, this indicates that dividing 7 by 4 leaves a remainder of 3. Therefore, no, since the remainder isn't zero, 7 is not divisible by 4.