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45 mod 13, 45 modulo 13 as well as 45 modulus 13 all mean the same: 🙂
The remainder of the (Euclidean) division of 45 by 13.
What is 45 modulo 13?
- 45 is the dividend
- 13 is the divisor (modulo)
- 6 is the remainder
So, the answer is:
Next, we show you the math.
How is 45 mod 13 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 45 / 13 called quotient: 3
- Multiply the quotient by the divisor: 3 × 13 = 39
- Subtract the result from step 2 from the dividend: 45 – 39 = 6
Proof: 6 = (3 × 13) + 6.
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