19 mod 2 – Remainder of 19 Divided by 2

19 mod 2, 19 modulo 2 as well as 19 modulus 2 all mean the same: 🙂

The remainder of the (Euclidean) division of 19 by 2.

19 mod 2 = 1

What is 19 modulo 2?

• 19 is the dividend
• 2 is the divisor (modulo)
• 1 is the remainder

So, the answer is:

19 modulo 2 = 1

Next, we show you the math.

How is 19 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 19 / 2 called quotient: 9
2. Multiply the quotient by the divisor: 9 × 2 = 18
3. Subtract the result from step 2 from the dividend: 19 – 18 = 1

Proof: 1 = (9 × 2) + 1.

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Similar calculations include, for example:

• 24 mod 2
• 25 mod 2
• 26 mod 2

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