What is 51 mod 9?
Often represented by the operator "mod", the modulo is a mathematical operation that gives the remainder of an integer division.
The result of 51 mod 9 is 6.
How to compute 51 mod 9?
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)
- 51 / 9 = 5.6666666666667
- ⌊5.6666666666667⌋ = 5 (We only keep the integer part)
- 9 × 5 = 45
- 51 - 45 = 6 (Subtracting gives us the remainder)
In short: 51 − (9 × ⌊51 / 9⌋) = 6
Is 51 divisible by 9?
A number is said to be divisible by another number, if the remainder of the division is zero.
Given that the result of 51 mod 9 is 6, this indicates that dividing 51 by 9 leaves a remainder of 6. Therefore, no, since the remainder isn't zero, 51 is not divisible by 9.