What is 13 mod 1?

How to compute 13 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. 13 / 1 = 13
2. ⌊13⌋ = 13 (We only keep the integer part)
3. 1 × 13 = 13
4. 13 - 13 = 0 (Subtracting gives us the remainder)

In short: 13 − (1 × ⌊13 / 1⌋) = 0

Is 13 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 13 mod 1 is 0, this indicates that dividing 13 by 1 leaves no remainder. Therefore, yes, 13 is indeed divisible by 1.