What two numbers multiply to 210 and add up to 31?

Here we answer the question: "What two numbers multiply to 210 and add up to 31?"

The answer to your question is:

10 and 21

Below we illustrate and prove that 10 and 21 multiply to 210 and add up to 31:

10 × 21 = 210
10 + 21 = 31

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

x² + 31x + 210 = 0

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

(x + 10 ) (x + 21)

To summarize, since 10 and 21 multiply to 210 and add up 31, you know that the following is true:

x² + 31x + 210 = (x + 10 ) (x + 21)

Multiply To One Number and Add Up To Another
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