What is 71 mod 49?

How to compute 71 mod 49?

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. 71 / 49 = 1.4489795918367
2. ⌊1.4489795918367⌋ = 1 (We only keep the integer part)
3. 49 × 1 = 49
4. 71 - 49 = 22 (Subtracting gives us the remainder)

In short: 71 − (49 × ⌊71 / 49⌋) = 22

Is 71 divisible by 49?

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

Given that the result of 71 mod 49 is 22, this indicates that dividing 71 by 49 leaves a remainder of 22. Therefore, no, since the remainder isn't zero, 71 is not divisible by 49.