66 mod 13 – Remainder of 66 Divided by 13

66 mod 13, 66 modulo 13 as well as 66 modulus 13 all mean the same: 🙂

The remainder of the (Euclidean) division of 66 by 13.

66 mod 13 = 1

What is 66 modulo 13?

• 66 is the dividend
• 13 is the divisor (modulo)
• 1 is the remainder

So, the answer is:

66 modulo 13 = 1

Next, we show you the math.

How is 66 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 66 / 13 called quotient: 5
2. Multiply the quotient by the divisor: 5 × 13 = 65
3. Subtract the result from step 2 from the dividend: 66 – 65 = 1

Proof: 1 = (5 × 13) + 1.

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Similar calculations include, for example:

• 71 mod 13
• 72 mod 13
• 73 mod 13

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