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12 mod 3 – Remainder of 12 Divided by 3

12 mod 3, 12 modulo 3 as well as 12 modulus 3 all mean the same: 🙂

The remainder of the (Euclidean) division of 12 by 3.

12 mod 3 = 0

What is 12 modulo 3?

  • 12 is the dividend
  • 3 is the divisor (modulo)
  • 0 is the remainder

So, the answer is:

12 modulo 3 = 0


Next, we show you the math.

How is 12 mod 3 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 12 / 3 called quotient: 4
  2. Multiply the quotient by the divisor: 4 × 3 = 12
  3. Subtract the result from step 2 from the dividend: 12 – 12 = 0

Proof: 0 = (4 × 3) + 0.

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– Article written by Mark