What two numbers multiply to 315 and add up to 108?

Here we answer the question: "What two numbers multiply to 315 and add up to 108?"

The answer to your question is:

3 and 105

Below we illustrate and prove that 3 and 105 multiply to 315 and add up to 108:

3 × 105 = 315
3 + 105 = 108

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

x² + 108x + 315 = 0

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

(x + 3 ) (x + 105)

To summarize, since 3 and 105 multiply to 315 and add up 108, you know that the following is true:

x² + 108x + 315 = (x + 3 ) (x + 105)

Multiply To One Number and Add Up To Another
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