What is 17 mod 1?

How to compute 17 mod 1?

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. 17 / 1 = 17
2. ⌊17⌋ = 17 (We only keep the integer part)
3. 1 × 17 = 17
4. 17 - 17 = 0 (Subtracting gives us the remainder)

In short: 17 − (1 × ⌊17 / 1⌋) = 0

Is 17 divisible by 1?

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

Given that the result of 17 mod 1 is 0, this indicates that dividing 17 by 1 leaves no remainder. Therefore, yes, 17 is indeed divisible by 1.