What is 87 mod 87?

How to compute 87 mod 87?

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. 87 / 87 = 1
2. ⌊1⌋ = 1 (We only keep the integer part)
3. 87 × 1 = 87
4. 87 - 87 = 0 (Subtracting gives us the remainder)

In short: 87 − (87 × ⌊87 / 87⌋) = 0

Is 87 divisible by 87?

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

Given that the result of 87 mod 87 is 0, this indicates that dividing 87 by 87 leaves no remainder. Therefore, yes, 87 is indeed divisible by 87.