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57 mod 13 – Remainder of 57 Divided by 13

57 mod 13, 57 modulo 13 as well as 57 modulus 13 all mean the same: 🙂

The remainder of the (Euclidean) division of 57 by 13.

57 mod 13 = 5

What is 57 modulo 13?

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

So, the answer is:

57 modulo 13 = 5


Next, we show you the math.

How is 57 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 57 / 13 called quotient: 4
  2. Multiply the quotient by the divisor: 4 × 13 = 52
  3. Subtract the result from step 2 from the dividend: 57 – 52 = 5

Proof: 5 = (4 × 13) + 5.

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