What two numbers multiply to 108 and add up to 39?

Here we answer the question: "What two numbers multiply to 108 and add up to 39?"

The answer to your question is:

3 and 36

Below we illustrate and prove that 3 and 36 multiply to 108 and add up to 39:

3 × 36 = 108
3 + 36 = 39

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

x² + 39x + 108 = 0

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

(x + 3 ) (x + 36)

To summarize, since 3 and 36 multiply to 108 and add up 39, you know that the following is true:

x² + 39x + 108 = (x + 3 ) (x + 36)

Multiply To One Number and Add Up To Another
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