What is 71 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 71 mod 7 is 1.
How to compute 71 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)
- 71 / 7 = 10.142857142857
- ⌊10.142857142857⌋ = 10 (We only keep the integer part)
- 7 × 10 = 70
- 71 - 70 = 1 (Subtracting gives us the remainder)
In short: 71 − (7 × ⌊71 / 7⌋) = 1
Is 71 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 71 mod 7 is 1, this indicates that dividing 71 by 7 leaves a remainder of 1. Therefore, no, since the remainder isn't zero, 71 is not divisible by 7.