If it does not factor properly then you cannot factor it.
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You would factor out -1 (a) from a trinomial in an equation such as -a^2 +30a - 2a + 60 after the middle term has been separated. The final answer of this trinomial would then be (a-30) (a-30).
The common factor would be n.
I would call an odd number factor a factor that is an odd number. I would call a number with an odd number of factors a perfect square.
If that was - 10x + 21, it would factor to (x - 3)(x - 7) If that was + 10x + 21, it would factor to (x + 3)(x + 7) As it is, the solutions are irrational.
Increasing by a factor of ten is to multiply by 10. By extension, decreasing by a factor of 2 would be to divide by 2.