What is 89 mod 7?
Often represented by the operator "mod", the modulo is a mathematical operation that gives the remainder of an integer division.
The result of 89 mod 7 is 5.
How to compute 89 mod 7?
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)
- 89 / 7 = 12.714285714286
- ⌊12.714285714286⌋ = 12 (We only keep the integer part)
- 7 × 12 = 84
- 89 - 84 = 5 (Subtracting gives us the remainder)
In short: 89 − (7 × ⌊89 / 7⌋) = 5
Is 89 divisible by 7?
A number is said to be divisible by another number, if the remainder of the division is zero.
Given that the result of 89 mod 7 is 5, this indicates that dividing 89 by 7 leaves a remainder of 5. Therefore, no, since the remainder isn't zero, 89 is not divisible by 7.