What two numbers multiply to 506 and add up to 45?

Here we answer the question: "What two numbers multiply to 506 and add up to 45?"

The answer to your question is:

22 and 23

Below we illustrate and prove that 22 and 23 multiply to 506 and add up to 45:

22 × 23 = 506
22 + 23 = 45

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

x² + 45x + 506 = 0

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

(x + 22 ) (x + 23)

To summarize, since 22 and 23 multiply to 506 and add up 45, you know that the following is true:

x² + 45x + 506 = (x + 22 ) (x + 23)

Multiply To One Number and Add Up To Another
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