What is 37 mod 7?

How to compute 37 mod 7?

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 / 7 = 5.2857142857143
2. ⌊5.2857142857143⌋ = 5 (We only keep the integer part)
3. 7 × 5 = 35
4. 37 - 35 = 2 (Subtracting gives us the remainder)

In short: 37 − (7 × ⌊37 / 7⌋) = 2

Is 37 divisible by 7?

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 7 is 2, this indicates that dividing 37 by 7 leaves a remainder of 2. Therefore, no, since the remainder isn't zero, 37 is not divisible by 7.