What is 71 mod 37?

Often represented by the operator "mod", the modulo is a mathematical operation that gives the remainder of an integer division.

The result of 71 mod 37 is 34.

How to compute 71 mod 37?

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:

Remainder = N − ( M × ⌊ N M ⌋ )

(where N is the dividend, M is the divisor and ⌊ N M ⌋ represents the integer part of the quotient)

  1. 71 / 37 = 1.9189189189189
  2. ⌊1.9189189189189⌋ = 1 (We only keep the integer part)
  3. 37 × 1 = 37
  4. 71 - 37 = 34 (Subtracting gives us the remainder)

In short: 71 − (37 × ⌊71 / 37⌋) = 34

Is 71 divisible by 37?

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 37 is 34, this indicates that dividing 71 by 37 leaves a remainder of 34. Therefore, no, since the remainder isn't zero, 71 is not divisible by 37.