6 mod 13 – Remainder of 6 Divided by 13

6 mod 13, 6 modulo 13 as well as 6 modulus 13 all mean the same: 🙂

The remainder of the (Euclidean) division of 6 by 13.

6 mod 13 = 6

What is 6 modulo 13?

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

So, the answer is:

6 modulo 13 = 6

Next, we show you the math.

How is 6 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 6 / 13 called quotient: 0
2. Multiply the quotient by the divisor: 0 × 13 = 0
3. Subtract the result from step 2 from the dividend: 6 – 0 = 6

Proof: 6 = (0 × 13) + 6.

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Similar calculations include, for example:

• 11 mod 13
• 12 mod 13
• 13 mod 13

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