What is 51 mod 23?

How to compute 51 mod 23?

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:

$\mathrm{Remainder}=N-(M\times \lfloor \frac{N}{M}\rfloor )$

(where N is the dividend, M is the divisor and $\lfloor \frac{N}{M}\rfloor$ represents the integer part of the quotient)

1. 51 / 23 = 2.2173913043478
2. ⌊2.2173913043478⌋ = 2 (We only keep the integer part)
3. 23 × 2 = 46
4. 51 - 46 = 5 (Subtracting gives us the remainder)

In short: 51 − (23 × ⌊51 / 23⌋) = 5

Is 51 divisible by 23?

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 23 is 5, this indicates that dividing 51 by 23 leaves a remainder of 5. Therefore, no, since the remainder isn't zero, 51 is not divisible by 23.