What two numbers multiply to 256 and add up to 32?

Here we answer the question: "What two numbers multiply to 256 and add up to 32?"

The answer to your question is:

16 and 16

Below we illustrate and prove that 16 and 16 multiply to 256 and add up to 32:

16 × 16 = 256
16 + 16 = 32

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

x² + 32x + 256 = 0

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

(x + 16 ) (x + 16)

To summarize, since 16 and 16 multiply to 256 and add up 32, you know that the following is true:

x² + 32x + 256 = (x + 16 ) (x + 16)

Multiply To One Number and Add Up To Another
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