What 2 numbers multiply to - 147 but add to - 14?

Okay, so let's go over multiplying negative numbers. A positive times a positive is a positive, right? But a negative times a negative is also a positive. Only a negative times a positive (or a positive times a negative) gives you a negative number. So, we know that one of our 2 numbers in this question must be negative; the other must be positive.

Let's now take a look at the factors of - 147, starting with the positives. Obviously, - 147 and 1 are factors: - 147 * 1 = - 147. What other factors of - 147 are there?

What about 7? Try it: - 147 / 7 = - 21. So here are two factors: - 21, and 7. They multiply to - 147. Do they add up to - 14? Let's see: - 21+7 = 7 + (-21) = 7-21 = - 14. Yup, that works!

Answer: - 21 and 7