What two numbers multiply to 256 and add up to 40?

Here we answer the question: "What two numbers multiply to 256 and add up to 40?"

The answer to your question is:

8 and 32

Below we illustrate and prove that 8 and 32 multiply to 256 and add up to 40:

8 × 32 = 256
8 + 32 = 40

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

x² + 40x + 256 = 0

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

(x + 8 ) (x + 32)

To summarize, since 8 and 32 multiply to 256 and add up 40, you know that the following is true:

x² + 40x + 256 = (x + 8 ) (x + 32)

Multiply To One Number and Add Up To Another
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