What two numbers multiply to 280 and add up to 47?

Here we answer the question: "What two numbers multiply to 280 and add up to 47?"

The answer to your question is:

7 and 40

Below we illustrate and prove that 7 and 40 multiply to 280 and add up to 47:

7 × 40 = 280
7 + 40 = 47

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

x² + 47x + 280 = 0

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

(x + 7 ) (x + 40)

To summarize, since 7 and 40 multiply to 280 and add up 47, you know that the following is true:

x² + 47x + 280 = (x + 7 ) (x + 40)

Multiply To One Number and Add Up To Another
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