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36 mod 13 – Remainder of 36 Divided by 13

36 mod 13, 36 modulo 13 as well as 36 modulus 13 all mean the same: 🙂

The remainder of the (Euclidean) division of 36 by 13.

36 mod 13 = 10

What is 36 modulo 13?

  • 36 is the dividend
  • 13 is the divisor (modulo)
  • 10 is the remainder

So, the answer is:

36 modulo 13 = 10


Next, we show you the math.

How is 36 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 36 / 13 called quotient: 2
  2. Multiply the quotient by the divisor: 2 × 13 = 26
  3. Subtract the result from step 2 from the dividend: 36 – 26 = 10

Proof: 10 = (2 × 13) + 10.

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– Article written by Mark, last updated on January 11th, 2024