What is 1 mod 53?

How to compute 1 mod 53?

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. 1 / 53 = 0.018867924528302
2. ⌊0.018867924528302⌋ = 0 (We only keep the integer part)
3. 53 × 0 = 0
4. 1 - 0 = 1 (Subtracting gives us the remainder)

In short: 1 − (53 × ⌊1 / 53⌋) = 1

Is 1 divisible by 53?

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

Given that the result of 1 mod 53 is 1, this indicates that dividing 1 by 53 leaves a remainder of 1. Therefore, no, since the remainder isn't zero, 1 is not divisible by 53.