What is 87 mod 65?

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

The result of 87 mod 65 is 22.

How to compute 87 mod 65?

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. 87 / 65 = 1.3384615384615
  2. ⌊1.3384615384615⌋ = 1 (We only keep the integer part)
  3. 65 × 1 = 65
  4. 87 - 65 = 22 (Subtracting gives us the remainder)

In short: 87 − (65 × ⌊87 / 65⌋) = 22

Is 87 divisible by 65?

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

Given that the result of 87 mod 65 is 22, this indicates that dividing 87 by 65 leaves a remainder of 22. Therefore, no, since the remainder isn't zero, 87 is not divisible by 65.