What two numbers multiply to 428 and add up to 216?

Here we answer the question: "What two numbers multiply to 428 and add up to 216?"

The answer to your question is:

2 and 214

Below we illustrate and prove that 2 and 214 multiply to 428 and add up to 216:

2 × 214 = 428
2 + 214 = 216

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

x² + 216x + 428 = 0

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

(x + 2 ) (x + 214)

To summarize, since 2 and 214 multiply to 428 and add up 216, you know that the following is true:

x² + 216x + 428 = (x + 2 ) (x + 214)

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.