What two numbers multiply to 255 and add up to 256?

Here we answer the question: "What two numbers multiply to 255 and add up to 256?"

The answer to your question is:

1 and 255

Below we illustrate and prove that 1 and 255 multiply to 255 and add up to 256:

1 × 255 = 255
1 + 255 = 256

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

x² + 256x + 255 = 0

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

(x + 1 ) (x + 255)

To summarize, since 1 and 255 multiply to 255 and add up 256, you know that the following is true:

x² + 256x + 255 = (x + 1 ) (x + 255)

Multiply To One Number and Add Up To Another
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