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17 mod 3, 17 modulo 3 as well as 17 modulus 3 all mean the same: 🙂
The remainder of the (Euclidean) division of 17 by 3.
What is 17 modulo 3?
- 17 is the dividend
- 3 is the divisor (modulo)
- 2 is the remainder
So, the answer is:
Next, we show you the math.
How is 17 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:
- Take the whole part of 17 / 3 called quotient: 5
- Multiply the quotient by the divisor: 5 × 3 = 15
- Subtract the result from step 2 from the dividend: 17 – 15 = 2
Proof: 2 = (5 × 3) + 2.
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