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There are no factor pairs.
-2 and -60 add to -62 which is too small.
The next pair,
-3 and -40 add to -43 which is too large.
If not restricted by factor pairs, then,
-4, -30, and twenty lots of -1 will do the trick.
The factors that multiply to 120 and add up to -8 are -12 and 10. This is because when you multiply -12 and 10, you get -120, and when you add them together, you get -8. Thus, the pair of factors you are looking for is (-12, 10).
6 and 9
.54 × 120 = 64.80
-1, 6 and -12.
-54 and -2 aren't technically factors of 108, but they will satisfy this problem.