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:

macalc2

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.

About the author

Timtech

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Readers Comments (44)

  1. what multiplies to make 15 and adds up to 18

  2. Are there any two numbers that multiply to 7 and add to 0? It’s probably an easy answer but I’m just not good at math.

    • No, there aren’t. Think about it like this:

      Any two numbers that add to zero must be equal, but opposite in sign. For example, 2 and -2, 3 and -3, etc. One of them will be positive, and the other will be negative.

      Thus, when you multiply these numbers together, you will never get a positive answer, since the product of a positive and a negative number is always negative.

  3. What adds to be -62 and multiplies to be -560

  4. what multiplies to 8 and adds to 5

  5. Ibraheem Riaz May 3, 2018 @ 7:45 AM

    What two numbers add up to 37 and multiply to -24?

  6. What adds to get 7 and multiplies to get -270

  7. My problem is 12w^2+18w-84
    an we are doing the slide divide bottoms up ( i hope you know what that is )
    but when we slide we take 12 * -84 to get -1008 an the we have to find two numbers to add to 18 an multiply to get -1008 what are they?
    THANK YOUUUU

  8. Lincoln Haynes May 14, 2018 @ 9:45 PM

    Are there any numbers that add to 9 but multiply to 8???

  9. HI lmao I like your minecraft pic. Not bad bro. I also play minecraft

  10. r u stupid

  11. what 2 no. add to 17 and multiply to 66

    • Think about all the pairs of numbers (factors) that multiply to make 66. We have 1 * 66 (obviously), and also 2 * 33, 3 * 22, and 6 * 11. When you look at this list, you can see that 6 + 11 = 17.

  12. What to multiply to 60 to become 250

  13. what numbers multiply to negative three and add to negative four

  14. What multiplies to 12 but adds to 2

  15. What adds to 1/15 and multiplies to -2/15

  16. What numbers multiply to give you -10 and add to give you 5? and what numbers multiply to give you 12 and add to give you -12?

  17. Multiplies to give 2,adds to give 4

  18. what two numbers add to -1 and multiply to -30

    • Think about the factors of 30: (1 30) (2 15) (3 10) (5 6)

      Now consider that 5 * -6 = -30 and 5 + -6 = -1

      Or, you can just use the calculator included in the post.

  19. what multiplies to 2 and adds to 0

    • This is impossible; in order for two numbers to add to zero, one must be positive and one must be negative. When you multiply a positive and a negative number, you will always get a negative answer.

  20. What multiplies to 2.5 but adds to 6

  21. what number multiplies to 12.5 and adds to 5

  22. What to numbers multiply to -6 and add to give 5

    • Consider that 1 * 6 = 6, and 2 * 3 = 6. Now, one of these numbers must be negative, so that you can get -6.

      2-3 = 5, nope. 3-2 = 5, nope. 1-6 = 5, nope. 6-1 = 5, yup. Therefore the numbers are 6 and -1.

  23. What two numbers multiply to -150 add up to 19

  24. What multiplies to 0.3 and adds to 3.17?

  25. What multiplies to get -75 but adds to +22

    • Think about all of the possible ways to get 75 by multiplying: (1 * 75), (3 * 25), and (5 * 15). Of course, one of these numbers must be negative, so that you can multiply to get -75.

      Now, the numbers must add up to 22. We can see that 25 is fairly close to 22. In fact, 25 minus 3 gives us 22. Therefore we know that 25 * -3 = -75 and 25 + -3 = 22.

  26. what multiplies to 25 and adds to 1

  27. What adds to 4, but multiplies to 0

  28. It is english language possible to write? Sorry for my proor eng

  29. What multiplies to get negative 12 and adds to get negative 2

    • The calculator will approximate the decimal values for you (approximately 2.6 and -4.6).

      If you find the exact results by hand, you will get -1 + √13 and -1 – √13.

  30. What multiplies you get -12 and adds to get 7

  31. What multiplies to 13 and adds to 6? negative/positive/whatever

    • You probably already realized that no two real numbers can multiply to 13 while still adding up to 6. You are looking for the complex numbers 3+2j and 3-2j, where j represents the imaginary unit. You can check these numbers like so:

      ( 3+2j ) + ( 3-2j ) = ( 6+0j ) = 6
      ( 3+2j ) * ( 3-2j ) = ( 9 + 6j – 6j + 4) = 13

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