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What is the smallest positive integer n such that 3n = 1356 (mod 27).

 Jul 1, 2021
 #1
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1356 leaves a remainder of 6 when divided by 27 (you can check using long division.

The problem reduces to: \(3n \equiv 6 (\text{mod 27})\). In other words, what is the smallest number that when multiplied by 3 is equal to 6?

 Jul 2, 2021

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