What is 98 mod 40?

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

The result of 98 mod 40 is 18.

How to compute 98 mod 40?

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. 98 / 40 = 2.45
  2. ⌊2.45⌋ = 2 (We only keep the integer part)
  3. 40 × 2 = 80
  4. 98 - 80 = 18 (Subtracting gives us the remainder)

In short: 98 − (40 × ⌊98 / 40⌋) = 18

Is 98 divisible by 40?

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

Given that the result of 98 mod 40 is 18, this indicates that dividing 98 by 40 leaves a remainder of 18. Therefore, no, since the remainder isn't zero, 98 is not divisible by 40.