What is 4 mod 65?

How to compute 4 mod 65?

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 / 65 = 0.061538461538462
2. ⌊0.061538461538462⌋ = 0 (We only keep the integer part)
3. 65 × 0 = 0
4. 4 - 0 = 4 (Subtracting gives us the remainder)

In short: 4 − (65 × ⌊4 / 65⌋) = 4

Is 4 divisible by 65?

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 65 is 4, this indicates that dividing 4 by 65 leaves a remainder of 4. Therefore, no, since the remainder isn't zero, 4 is not divisible by 65.