What two numbers multiply to 312 and add up to 47?

Here we answer the question: "What two numbers multiply to 312 and add up to 47?"

The answer to your question is:

8 and 39

Below we illustrate and prove that 8 and 39 multiply to 312 and add up to 47:

8 × 39 = 312
8 + 39 = 47

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

x² + 47x + 312 = 0

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

(x + 8 ) (x + 39)

To summarize, since 8 and 39 multiply to 312 and add up 47, you know that the following is true:

x² + 47x + 312 = (x + 8 ) (x + 39)

Multiply To One Number and Add Up To Another
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