What two numbers multiply to 460 and add up to 56?

Here we answer the question: "What two numbers multiply to 460 and add up to 56?"

The answer to your question is:

10 and 46

Below we illustrate and prove that 10 and 46 multiply to 460 and add up to 56:

10 × 46 = 460
10 + 46 = 56

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

x² + 56x + 460 = 0

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

(x + 10 ) (x + 46)

To summarize, since 10 and 46 multiply to 460 and add up 56, you know that the following is true:

x² + 56x + 460 = (x + 10 ) (x + 46)

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.