What two numbers multiply to 689 and add up to 66?

Here we answer the question: "What two numbers multiply to 689 and add up to 66?"

The answer to your question is:

13 and 53

Below we illustrate and prove that 13 and 53 multiply to 689 and add up to 66:

13 × 53 = 689
13 + 53 = 66

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

x² + 66x + 689 = 0

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

(x + 13 ) (x + 53)

To summarize, since 13 and 53 multiply to 689 and add up 66, you know that the following is true:

x² + 66x + 689 = (x + 13 ) (x + 53)

Multiply To One Number and Add Up To Another
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