16 mod 3 – Remainder of 16 Divided by 3

16 mod 3, 16 modulo 3 as well as 16 modulus 3 all mean the same: 🙂

The remainder of the (Euclidean) division of 16 by 3.

16 mod 3 = 1

What is 16 modulo 3?

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

So, the answer is:

16 modulo 3 = 1

Next, we show you the math.

How is 16 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 16 / 3 called quotient: 5
2. Multiply the quotient by the divisor: 5 × 3 = 15
3. Subtract the result from step 2 from the dividend: 16 – 15 = 1

Proof: 1 = (5 × 3) + 1.

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Similar calculations include, for example:

• 21 mod 3
• 22 mod 3
• 23 mod 3

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