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53 mod 10 – Remainder of 53 Divided by 10

53 mod 10, 53 modulo 10 as well as 53 modulus 10 all mean the same: 🙂

The remainder of the (Euclidean) division of 53 by 10.

53 mod 10 = 3

What is 53 modulo 10?

  • 53 is the dividend
  • 10 is the divisor (modulo)
  • 3 is the remainder

So, the answer is:

53 modulo 10 = 3


Next, we show you the math.

How is 53 mod 10 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 53 / 10 called quotient: 5
  2. Multiply the quotient by the divisor: 5 × 10 = 50
  3. Subtract the result from step 2 from the dividend: 53 – 50 = 3

Proof: 3 = (5 × 10) + 3.

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