What two numbers multiply to 999 and add up to 1000?

Here we answer the question: "What two numbers multiply to 999 and add up to 1000?"

The answer to your question is:

1 and 999

Below we illustrate and prove that 1 and 999 multiply to 999 and add up to 1000:

1 × 999 = 999
1 + 999 = 1000

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

x² + 1000x + 999 = 0

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

(x + 1 ) (x + 999)

To summarize, since 1 and 999 multiply to 999 and add up 1000, you know that the following is true:

x² + 1000x + 999 = (x + 1 ) (x + 999)

Multiply To One Number and Add Up To Another
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