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16 mod 2 – Remainder of 16 Divided by 2

16 mod 2, 16 modulo 2 as well as 16 modulus 2 all mean the same: 🙂

The remainder of the (Euclidean) division of 16 by 2.

16 mod 2 = 0

What is 16 modulo 2?

  • 16 is the dividend
  • 2 is the divisor (modulo)
  • 0 is the remainder

So, the answer is:

16 modulo 2 = 0


Next, we show you the math.

How is 16 mod 2 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 16 / 2 called quotient: 8
  2. Multiply the quotient by the divisor: 8 × 2 = 16
  3. Subtract the result from step 2 from the dividend: 16 – 16 = 0

Proof: 0 = (8 × 2) + 0.

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