What is 34 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 34 mod 7 is 6.
How to compute 34 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)
- 34 / 7 = 4.8571428571429
- ⌊4.8571428571429⌋ = 4 (We only keep the integer part)
- 7 × 4 = 28
- 34 - 28 = 6 (Subtracting gives us the remainder)
In short: 34 − (7 × ⌊34 / 7⌋) = 6
Is 34 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 34 mod 7 is 6, this indicates that dividing 34 by 7 leaves a remainder of 6. Therefore, no, since the remainder isn't zero, 34 is not divisible by 7.