Who is asking: Parent
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
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?
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