What two numbers multiply to 360 and add up to 123?

Here we answer the question: "What two numbers multiply to 360 and add up to 123?"

The answer to your question is:

3 and 120

Below we illustrate and prove that 3 and 120 multiply to 360 and add up to 123:

3 × 120 = 360
3 + 120 = 123

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

x² + 123x + 360 = 0

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

(x + 3 ) (x + 120)

To summarize, since 3 and 120 multiply to 360 and add up 123, you know that the following is true:

x² + 123x + 360 = (x + 3 ) (x + 120)

Multiply To One Number and Add Up To Another
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