What is 55 mod 29?

How to compute 55 mod 29?

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. 55 / 29 = 1.8965517241379
2. ⌊1.8965517241379⌋ = 1 (We only keep the integer part)
3. 29 × 1 = 29
4. 55 - 29 = 26 (Subtracting gives us the remainder)

In short: 55 − (29 × ⌊55 / 29⌋) = 26

Is 55 divisible by 29?

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

Given that the result of 55 mod 29 is 26, this indicates that dividing 55 by 29 leaves a remainder of 26. Therefore, no, since the remainder isn't zero, 55 is not divisible by 29.