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22 mod 13 – Remainder of 22 Divided by 13

22 mod 13, 22 modulo 13 as well as 22 modulus 13 all mean the same: 🙂

The remainder of the (Euclidean) division of 22 by 13.

22 mod 13 = 9

What is 22 modulo 13?

  • 22 is the dividend
  • 13 is the divisor (modulo)
  • 9 is the remainder

So, the answer is:

22 modulo 13 = 9


Next, we show you the math.

How is 22 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 22 / 13 called quotient: 1
  2. Multiply the quotient by the divisor: 1 × 13 = 13
  3. Subtract the result from step 2 from the dividend: 22 – 13 = 9

Proof: 9 = (1 × 13) + 9.

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