What is 97 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 97 mod 7 is 6.

How to compute 97 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. 97 / 7 = 13.857142857143
  2. ⌊13.857142857143⌋ = 13 (We only keep the integer part)
  3. 7 × 13 = 91
  4. 97 - 91 = 6 (Subtracting gives us the remainder)

In short: 97 − (7 × ⌊97 / 7⌋) = 6

Is 97 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 97 mod 7 is 6, this indicates that dividing 97 by 7 leaves a remainder of 6. Therefore, no, since the remainder isn't zero, 97 is not divisible by 7.