18 mod 13 – Remainder of 18 Divided by 13

18 mod 13, 18 modulo 13 as well as 18 modulus 13 all mean the same: 🙂

The remainder of the (Euclidean) division of 18 by 13.

18 mod 13 = 5

What is 18 modulo 13?

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

So, the answer is:

18 modulo 13 = 5

Next, we show you the math.

How is 18 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 18 / 13 called quotient: 1
2. Multiply the quotient by the divisor: 1 × 13 = 13
3. Subtract the result from step 2 from the dividend: 18 – 13 = 5

Proof: 5 = (1 × 13) + 5.

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Similar calculations include, for example:

• 23 mod 13
• 24 mod 13
• 25 mod 13

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