What two numbers multiply to 1000 and add up to 254?

Here we answer the question: "What two numbers multiply to 1000 and add up to 254?"

The answer to your question is:

4 and 250

Below we illustrate and prove that 4 and 250 multiply to 1000 and add up to 254:

4 × 250 = 1000
4 + 250 = 254

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

x² + 254x + 1000 = 0

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

(x + 4 ) (x + 250)

To summarize, since 4 and 250 multiply to 1000 and add up 254, you know that the following is true:

x² + 254x + 1000 = (x + 4 ) (x + 250)

Multiply To One Number and Add Up To Another
Did you find the information on this page useful? Here you can solve a similar problem.