52 mod 13 – Remainder of 52 Divided by 13

52 mod 13, 52 modulo 13 as well as 52 modulus 13 all mean the same: 🙂

The remainder of the (Euclidean) division of 52 by 13.

52 mod 13 = 0

What is 52 modulo 13?

• 52 is the dividend
• 13 is the divisor (modulo)
• 0 is the remainder

So, the answer is:

52 modulo 13 = 0

Next, we show you the math.

How is 52 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 52 / 13 called quotient: 4
2. Multiply the quotient by the divisor: 4 × 13 = 52
3. Subtract the result from step 2 from the dividend: 52 – 52 = 0

Proof: 0 = (4 × 13) + 0.

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Similar calculations include, for example:

• 57 mod 13
• 58 mod 13
• 59 mod 13

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