What two numbers multiply to 405 and add up to 406?

Here we answer the question: "What two numbers multiply to 405 and add up to 406?"

The answer to your question is:

1 and 405

Below we illustrate and prove that 1 and 405 multiply to 405 and add up to 406:

1 × 405 = 405
1 + 405 = 406

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

x² + 406x + 405 = 0

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

(x + 1 ) (x + 405)

To summarize, since 1 and 405 multiply to 405 and add up 406, you know that the following is true:

x² + 406x + 405 = (x + 1 ) (x + 405)

Multiply To One Number and Add Up To Another
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