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13 mod 5 – Remainder of 13 Divided by 5

13 mod 5, 13 modulo 5 as well as 13 modulus 5 all mean the same: 🙂

The remainder of the (Euclidean) division of 13 by 5.

13 mod 5 = 3

What is 13 modulo 5?

  • 13 is the dividend
  • 5 is the divisor (modulo)
  • 3 is the remainder

So, the answer is:

13 modulo 5 = 3


Next, we show you the math.

How is 13 mod 5 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 13 / 5 called quotient: 2
  2. Multiply the quotient by the divisor: 2 × 5 = 10
  3. Subtract the result from step 2 from the dividend: 13 – 10 = 3

Proof: 3 = (2 × 5) + 3.

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