What two numbers multiply to 105 and add up to 26?

Here we answer the question: "What two numbers multiply to 105 and add up to 26?"

The answer to your question is:

5 and 21

Below we illustrate and prove that 5 and 21 multiply to 105 and add up to 26:

5 × 21 = 105
5 + 21 = 26

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

x² + 26x + 105 = 0

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

(x + 5 ) (x + 21)

To summarize, since 5 and 21 multiply to 105 and add up 26, you know that the following is true:

x² + 26x + 105 = (x + 5 ) (x + 21)

Multiply To One Number and Add Up To Another
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