The two factors are [1 - sqrt(57)] / 2 and [1 + sqrt(57)] / 2
2 and -1 are factors of -14.
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1 and 13.
2 and 1 .their sum is 3 .difference is 1
The only factors of -9 are -1 & 9, 3 & -3 and 1 & -9. None of these sum to 22.
The pair of factors you are looking for is 23 x 47 = 1081. In fact, aside from itself and 1, these are the only two positive integer factors of 1081.
A perfect number is one that is the sum of all its factors other than itself. For example, the factors of 28 are 1, 2, 4, 7 and 14; 1 + 2 + 4 + 7 + 14 = 28.