What two numbers multiply to 407 and add up to 408?

Here we answer the question: "What two numbers multiply to 407 and add up to 408?"

The answer to your question is:

1 and 407

Below we illustrate and prove that 1 and 407 multiply to 407 and add up to 408:

1 × 407 = 407
1 + 407 = 408

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

x² + 408x + 407 = 0

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

(x + 1 ) (x + 407)

To summarize, since 1 and 407 multiply to 407 and add up 408, you know that the following is true:

x² + 408x + 407 = (x + 1 ) (x + 407)

Multiply To One Number and Add Up To Another
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