What two numbers multiply to 256 and add up to 257?

Here we answer the question: "What two numbers multiply to 256 and add up to 257?"

The answer to your question is:

1 and 256

Below we illustrate and prove that 1 and 256 multiply to 256 and add up to 257:

1 × 256 = 256
1 + 256 = 257

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

x² + 257x + 256 = 0

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

(x + 1 ) (x + 256)

To summarize, since 1 and 256 multiply to 256 and add up 257, you know that the following is true:

x² + 257x + 256 = (x + 1 ) (x + 256)

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.