What two numbers multiply to 872 and add up to 117?

Here we answer the question: "What two numbers multiply to 872 and add up to 117?"

The answer to your question is:

8 and 109

Below we illustrate and prove that 8 and 109 multiply to 872 and add up to 117:

8 × 109 = 872
8 + 109 = 117

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

x² + 117x + 872 = 0

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

(x + 8 ) (x + 109)

To summarize, since 8 and 109 multiply to 872 and add up 117, you know that the following is true:

x² + 117x + 872 = (x + 8 ) (x + 109)

Multiply To One Number and Add Up To Another
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