Multiplies to _ and adds to _ calculator

If you have the sum of two numbers as well as the product those numbers, you can use this online calculator to calculate the actual numbers for you:


This is especially useful for factoring trinomials, such as x2+7x+12, by entering the coefficients into the calculator. For example, if you make X*Y=12 and X+Y=7, then you find that X=4 and Y=3. You can then rewrite the trinomial in its factored form, (X+4)(X+3).

If you need any help, simply leave a comment below and I’ll see what I can do.

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Readers Comments (23)

  1. What two numbers add to 7 but multiply to 25?

    • There are no numbers that add to 7 but multiply to 25. The largest product you can get with numbers that add to 7 is 12.25 (by doing 3.5 * 3.5 = 12.25).

  2. What tow numbers add up to 4 but multiply to 12

  3. what numbers add to 2 and multiply to 4?

  4. What adds to -7 and multiplies to 3

  5. what adds to -5 but multiplies to -24

  6. Thanks for this calculator, it helped me a lot during maths and factoring.

  7. what multiplies to -92 but adds to 9

  8. What two numbers multiply to -14 but add to positive 1

  9. what two numbers multiply to -2 and add to 1

  10. What multiplies to get 42.25 and adds to get 3.25? I’m working on homework and got stuck on the problem…

    • That’s impossible. Think about it: the two numbers have to multiply to a positive number (meaning the signs must be the same) and they have to add to a positive number as well (which means at least one number must be positive). So, that tells us that both numbers must be positive.

      Knowing that, we find that the maximum product we can get with numbers adding to 3.25 is around 2.6, by having (3.25 / 2) * (3.25 / 2). There is no way to get a larger product while still making the numbers add up to 3.25.

  11. what multiplies to -120 and adds to 7

  12. what two numbers multiply to -36 and add to 9

  13. What multiplys to 5 and adds to -15

  14. What adds to get -51 and multiplies to get 156.

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