What is 77 mod 75?

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

The result of 77 mod 75 is 2.

How to compute 77 mod 75?

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. 77 / 75 = 1.0266666666667
  2. ⌊1.0266666666667⌋ = 1 (We only keep the integer part)
  3. 75 × 1 = 75
  4. 77 - 75 = 2 (Subtracting gives us the remainder)

In short: 77 − (75 × ⌊77 / 75⌋) = 2

Is 77 divisible by 75?

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

Given that the result of 77 mod 75 is 2, this indicates that dividing 77 by 75 leaves a remainder of 2. Therefore, no, since the remainder isn't zero, 77 is not divisible by 75.