What is 28 mod 7?

How to compute 28 mod 7?

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. 28 / 7 = 4
2. ⌊4⌋ = 4 (We only keep the integer part)
3. 7 × 4 = 28
4. 28 - 28 = 0 (Subtracting gives us the remainder)

In short: 28 − (7 × ⌊28 / 7⌋) = 0

Is 28 divisible by 7?

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

Given that the result of 28 mod 7 is 0, this indicates that dividing 28 by 7 leaves no remainder. Therefore, yes, 28 is indeed divisible by 7.