What two numbers multiply to 123 and add up to 124?

Here we answer the question: "What two numbers multiply to 123 and add up to 124?"

The answer to your question is:

1 and 123

Below we illustrate and prove that 1 and 123 multiply to 123 and add up to 124:

1 × 123 = 123
1 + 123 = 124

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

x² + 124x + 123 = 0

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

(x + 1 ) (x + 123)

To summarize, since 1 and 123 multiply to 123 and add up 124, you know that the following is true:

x² + 124x + 123 = (x + 1 ) (x + 123)

Multiply To One Number and Add Up To Another
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