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3 mod 1 – Remainder of 3 Divided by 1

3 mod 1, 3 modulo 1 as well as 3 modulus 1 all mean the same: 🙂

The remainder of the (Euclidean) division of 3 by 1.

3 mod 1 = 0

What is 3 modulo 1?

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

So, the answer is:

3 modulo 1 = 0


Next, we show you the math.

How is 3 mod 1 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 3 / 1 called quotient: 3
  2. Multiply the quotient by the divisor: 3 × 1 = 3
  3. Subtract the result from step 2 from the dividend: 3 – 3 = 0

Proof: 0 = (3 × 1) + 0.

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