What is 75 mod 7?

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

The result of 75 mod 7 is 5.

How to compute 75 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:

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. 75 / 7 = 10.714285714286
  2. ⌊10.714285714286⌋ = 10 (We only keep the integer part)
  3. 7 × 10 = 70
  4. 75 - 70 = 5 (Subtracting gives us the remainder)

In short: 75 − (7 × ⌊75 / 7⌋) = 5

Is 75 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 75 mod 7 is 5, this indicates that dividing 75 by 7 leaves a remainder of 5. Therefore, no, since the remainder isn't zero, 75 is not divisible by 7.