What is 78 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 78 mod 4 is 2.
How to compute 78 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)
- 78 / 4 = 19.5
- ⌊19.5⌋ = 19 (We only keep the integer part)
- 4 × 19 = 76
- 78 - 76 = 2 (Subtracting gives us the remainder)
In short: 78 − (4 × ⌊78 / 4⌋) = 2
Is 78 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 78 mod 4 is 2, this indicates that dividing 78 by 4 leaves a remainder of 2. Therefore, no, since the remainder isn't zero, 78 is not divisible by 4.