QWhat is the remainder when 570 is divided by 6?
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Explanation
We can represent the given information as follows:
52 % 6 = 1
53 % 6 = 5
54 % 6 = 1
55 % 6 = 5
For any positive integer x, we have:
5(2x) % 6 = 1
5(2x - 1) % 6 = 5
Therefore, for x = 285, we have:
5(2 * 285) % 6 = 570 % 6 = 1
This can be written as an equation as follows:
5(2 * 285) % 6 = 1
570 % 6 = 1
Solving this equation will confirm that the given information is consistent
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