What two numbers multiply to - 180 and adds to 8?

First, find the multiples of 180 ...

1 and 180

2 and 90

3 and 60

4 and 45

5 and 36

6 and 30

9 and 20

10 and 18

12 and 15

Then. using those, find two that work to add up to 8. Keep in mind that one of the factors must be negative, as 180 in this problem is negative.

Hence ... - 10 + 18 = 8

The two numbers you are looking for are - 10 and 18.