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19 mod 13 – Remainder of 19 Divided by 13

19 mod 13, 19 modulo 13 as well as 19 modulus 13 all mean the same: 🙂

The remainder of the (Euclidean) division of 19 by 13.

19 mod 13 = 6

What is 19 modulo 13?

  • 19 is the dividend
  • 13 is the divisor (modulo)
  • 6 is the remainder

So, the answer is:

19 modulo 13 = 6


Next, we show you the math.

How is 19 mod 13 Calculated?

Any decimal number is made up of a whole part, followed by a decimal point, followed by its decimal digits.

Conduct the three steps below:

  1. Take the whole part of 19 / 13 called quotient: 1
  2. Multiply the quotient by the divisor: 1 × 13 = 13
  3. Subtract the result from step 2 from the dividend: 19 – 13 = 6

Proof: 6 = (1 × 13) + 6.

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– Article written by Mark