What is 100 mod 29?

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

The result of 100 mod 29 is 13.

How to compute 100 mod 29?

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. 100 / 29 = 3.448275862069
  2. ⌊3.448275862069⌋ = 3 (We only keep the integer part)
  3. 29 × 3 = 87
  4. 100 - 87 = 13 (Subtracting gives us the remainder)

In short: 100 − (29 × ⌊100 / 29⌋) = 13

Is 100 divisible by 29?

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

Given that the result of 100 mod 29 is 13, this indicates that dividing 100 by 29 leaves a remainder of 13. Therefore, no, since the remainder isn't zero, 100 is not divisible by 29.