What two numbers multiply to 493 and add up to 46?

Here we answer the question: "What two numbers multiply to 493 and add up to 46?"

The answer to your question is:

17 and 29

Below we illustrate and prove that 17 and 29 multiply to 493 and add up to 46:

17 × 29 = 493
17 + 29 = 46

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

x² + 46x + 493 = 0

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

(x + 17 ) (x + 29)

To summarize, since 17 and 29 multiply to 493 and add up 46, you know that the following is true:

x² + 46x + 493 = (x + 17 ) (x + 29)

Multiply To One Number and Add Up To Another
Did you find the information on this page useful? Here you can solve a similar problem.