What two numbers multiply to 108 and add up to 31?

Here we answer the question: "What two numbers multiply to 108 and add up to 31?"

The answer to your question is:

4 and 27

Below we illustrate and prove that 4 and 27 multiply to 108 and add up to 31:

4 × 27 = 108
4 + 27 = 31

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

x² + 31x + 108 = 0

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

(x + 4 ) (x + 27)

To summarize, since 4 and 27 multiply to 108 and add up 31, you know that the following is true:

x² + 31x + 108 = (x + 4 ) (x + 27)

Multiply To One Number and Add Up To Another
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