What is 29 mod 6?

How to compute 29 mod 6?

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. 29 / 6 = 4.8333333333333
2. ⌊4.8333333333333⌋ = 4 (We only keep the integer part)
3. 6 × 4 = 24
4. 29 - 24 = 5 (Subtracting gives us the remainder)

In short: 29 − (6 × ⌊29 / 6⌋) = 5

Is 29 divisible by 6?

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

Given that the result of 29 mod 6 is 5, this indicates that dividing 29 by 6 leaves a remainder of 5. Therefore, no, since the remainder isn't zero, 29 is not divisible by 6.