A square root
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No, you should continue checking for factor pairs even if you find a pair that repeats. A repeating pair indicates that the number is not a prime number, but there may be other factor pairs that have not been identified yet. It is important to exhaust all possible factor pairs to ensure that all factors of the number are identified accurately.
0.4444 repeating
Mostly. Watch out for the exceptions like 3/3 or 18/9.
That doesn't factor neatly. Applying the quadratic formula, we find two imaginary solutions: (1 plus or minus the square root of -191) divided by 24t = 0.0416666 repeating + 0.5758447900452189it = 0.0416666 repeating - 0.5758447900452189iwhere i is the square root of negative one.
10.09 repeating