What two numbers multiply to 423 and add up to 56?

Here we answer the question: "What two numbers multiply to 423 and add up to 56?"

The answer to your question is:

9 and 47

Below we illustrate and prove that 9 and 47 multiply to 423 and add up to 56:

9 × 47 = 423
9 + 47 = 56

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

x² + 56x + 423 = 0

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

(x + 9 ) (x + 47)

To summarize, since 9 and 47 multiply to 423 and add up 56, you know that the following is true:

x² + 56x + 423 = (x + 9 ) (x + 47)

Multiply To One Number and Add Up To Another
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