Name: sharyn

Who is asking: Parent
Level: Middle

Question:
find 6 integers that when multiplied with each other equal +1575 and when the same integers are added together equal zero. there are more positives than negatives and one of the numbers is a double digit between 10 and 20



Hi Sharyn,

I would first factor 1575 into its prime factors.

1575 = 32  52  7 Thus the factors I have to work with are 1, 3, 3, 5, 5, 7 and their negatives I am told that one of the factors is a double digit number between 10 and 20. The only two digit number between 10 and 20 that I can get as a product of numbers from the list above is 15 = 3  5. Thus the list of factors I have to work with is reduced to 1, 3, 5, 7, 15 and their negatives. Since there are to be 6 factors I know now what they are, except for signs. They are -1, +1, ?3, ?5, ?7, ?15 Where ? is either + or -.

Can you complete the problem now?

Penny

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