What is 93 mod 3?

How to compute 93 mod 3?

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. 93 / 3 = 31
2. ⌊31⌋ = 31 (We only keep the integer part)
3. 3 × 31 = 93
4. 93 - 93 = 0 (Subtracting gives us the remainder)

In short: 93 − (3 × ⌊93 / 3⌋) = 0

Is 93 divisible by 3?

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

Given that the result of 93 mod 3 is 0, this indicates that dividing 93 by 3 leaves no remainder. Therefore, yes, 93 is indeed divisible by 3.