In the absence of signs I have assumed the term in 16x and 60 are negative:
ie x2 - 16x = -60 or x2 - 16x + 60 = 0
Factors of 60 which total -16 are -6 and -10, so (x - 6)(x - 10)
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x2 - 7x = 60 x2 - 7x - 60 = 0 (x - 12) (x + 5) = 0 x = 12 or x = -5
x2-2x-15 = (x+3)(x-5) when factored
12
X2 - 16X + 15 = 0 (X - 1)(X - 15) = 0 So X -1 = 0 or X - 15 = 0 ie X = 1 or X = 15
x2 - 16x + 28 = (x - 2)(x - 14). Even though you don't mention any factors below, it is easy to tell that the above-given two factors must be the ones you are looking for. If (14 - x) and (2 - x) are mentioned in your list, they would be good, also.