What is 37 mod 8?

How to compute 37 mod 8?

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. 37 / 8 = 4.625
2. ⌊4.625⌋ = 4 (We only keep the integer part)
3. 8 × 4 = 32
4. 37 - 32 = 5 (Subtracting gives us the remainder)

In short: 37 − (8 × ⌊37 / 8⌋) = 5

Is 37 divisible by 8?

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

Given that the result of 37 mod 8 is 5, this indicates that dividing 37 by 8 leaves a remainder of 5. Therefore, no, since the remainder isn't zero, 37 is not divisible by 8.