What two numbers multiply to 60 and add up to 61?

Here we answer the question: "What two numbers multiply to 60 and add up to 61?"

The answer to your question is:

1 and 60

Below we illustrate and prove that 1 and 60 multiply to 60 and add up to 61:

1 × 60 = 60
1 + 60 = 61

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

x² + 61x + 60 = 0

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

(x + 1 ) (x + 60)

To summarize, since 1 and 60 multiply to 60 and add up 61, you know that the following is true:

x² + 61x + 60 = (x + 1 ) (x + 60)

Multiply To One Number and Add Up To Another
Did you find the information on this page useful? Here you can solve a similar problem.