What is 61 mod 9?

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

The result of 61 mod 9 is 7.

How to compute 61 mod 9?

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. 61 / 9 = 6.7777777777778
  2. ⌊6.7777777777778⌋ = 6 (We only keep the integer part)
  3. 9 × 6 = 54
  4. 61 - 54 = 7 (Subtracting gives us the remainder)

In short: 61 − (9 × ⌊61 / 9⌋) = 7

Is 61 divisible by 9?

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

Given that the result of 61 mod 9 is 7, this indicates that dividing 61 by 9 leaves a remainder of 7. Therefore, no, since the remainder isn't zero, 61 is not divisible by 9.