What two numbers multiply to 198 and add up to 31?

Here we answer the question: "What two numbers multiply to 198 and add up to 31?"

The answer to your question is:

9 and 22

Below we illustrate and prove that 9 and 22 multiply to 198 and add up to 31:

9 × 22 = 198
9 + 22 = 31

Are you asking because you are trying to figure out how to factor the following quadratic equation?

x² + 31x + 198 = 0

If so, the solution to factor the quadratic equation above is:

(x + 9 ) (x + 22)

To summarize, since 9 and 22 multiply to 198 and add up 31, you know that the following is true:

x² + 31x + 198 = (x + 9 ) (x + 22)

Multiply To One Number and Add Up To Another
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