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30 mod 12 – Remainder of 30 Divided by 12

30 mod 12, 30 modulo 12 as well as 30 modulus 12 all mean the same: 🙂

The remainder of the (Euclidean) division of 30 by 12.

30 mod 12 = 6

What is 30 modulo 12?

  • 30 is the dividend
  • 12 is the divisor (modulo)
  • 6 is the remainder

So, the answer is:

30 modulo 12 = 6


Next, we show you the math.

How is 30 mod 12 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 30 / 12 called quotient: 2
  2. Multiply the quotient by the divisor: 2 × 12 = 24
  3. Subtract the result from step 2 from the dividend: 30 – 24 = 6

Proof: 6 = (2 × 12) + 6.

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