What two numbers multiply to 406 and add up to 407?

Here we answer the question: "What two numbers multiply to 406 and add up to 407?"

The answer to your question is:

1 and 406

Below we illustrate and prove that 1 and 406 multiply to 406 and add up to 407:

1 × 406 = 406
1 + 406 = 407

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

x² + 407x + 406 = 0

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

(x + 1 ) (x + 406)

To summarize, since 1 and 406 multiply to 406 and add up 407, you know that the following is true:

x² + 407x + 406 = (x + 1 ) (x + 406)

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.