What is 9 mod 52?

How to compute 9 mod 52?

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. 9 / 52 = 0.17307692307692
2. ⌊0.17307692307692⌋ = 0 (We only keep the integer part)
3. 52 × 0 = 0
4. 9 - 0 = 9 (Subtracting gives us the remainder)

In short: 9 − (52 × ⌊9 / 52⌋) = 9

Is 9 divisible by 52?

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

Given that the result of 9 mod 52 is 9, this indicates that dividing 9 by 52 leaves a remainder of 9. Therefore, no, since the remainder isn't zero, 9 is not divisible by 52.