What two numbers multiply to 308 and add up to 36?

Here we answer the question: "What two numbers multiply to 308 and add up to 36?"

The answer to your question is:

14 and 22

Below we illustrate and prove that 14 and 22 multiply to 308 and add up to 36:

14 × 22 = 308
14 + 22 = 36

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

x² + 36x + 308 = 0

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

(x + 14 ) (x + 22)

To summarize, since 14 and 22 multiply to 308 and add up 36, you know that the following is true:

x² + 36x + 308 = (x + 14 ) (x + 22)

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.