What is 4 mod 51?

How to compute 4 mod 51?

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. 4 / 51 = 0.07843137254902
2. ⌊0.07843137254902⌋ = 0 (We only keep the integer part)
3. 51 × 0 = 0
4. 4 - 0 = 4 (Subtracting gives us the remainder)

In short: 4 − (51 × ⌊4 / 51⌋) = 4

Is 4 divisible by 51?

A number is said to be divisible by another number, if the remainder of the division is zero.

Given that the result of 4 mod 51 is 4, this indicates that dividing 4 by 51 leaves a remainder of 4. Therefore, no, since the remainder isn't zero, 4 is not divisible by 51.