What two numbers multiply to 72 and add up to 18?

Here we answer the question: "What two numbers multiply to 72 and add up to 18?"

The answer to your question is:

6 and 12

Below we illustrate and prove that 6 and 12 multiply to 72 and add up to 18:

6 × 12 = 72
6 + 12 = 18

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

x² + 18x + 72 = 0

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

(x + 6 ) (x + 12)

To summarize, since 6 and 12 multiply to 72 and add up 18, you know that the following is true:

x² + 18x + 72 = (x + 6 ) (x + 12)

Multiply To One Number and Add Up To Another
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