What two numbers multiply to 208 and add up to 56?

Here we answer the question: "What two numbers multiply to 208 and add up to 56?"

The answer to your question is:

4 and 52

Below we illustrate and prove that 4 and 52 multiply to 208 and add up to 56:

4 × 52 = 208
4 + 52 = 56

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

x² + 56x + 208 = 0

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

(x + 4 ) (x + 52)

To summarize, since 4 and 52 multiply to 208 and add up 56, you know that the following is true:

x² + 56x + 208 = (x + 4 ) (x + 52)

Multiply To One Number and Add Up To Another
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