Sure. Take any positive number and find its factors. Then, if you make
an odd number of the factors negative, you then have a set of factors
of the negative of the original composite number.
That means that the factors of a negative number are not 'unique'.
Take ' 6 ' for example. Its factors are 1, 2, 3, and 6.
If you make the '1' or the '2' or the '3' or the '6' negative, then you have
four factors of ' -6 '.
Are there any other ways to make an odd number of them negative ?
I see eight different ways to make an odd number of those four numbers negative.
So ' -6 ' has eight different possible sets of factors.
Is that weird or what !
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Only if an odd number of the factors are negative numbers.
819
The product of three negative numbers is negative.
They will be negative numbers as for example -5+(-7) = -12
Well, honey, buckle up because we're diving into some math! When you multiply an odd number of negative numbers, the product is negative. Since 21 is an odd number, the product of 21 negative numbers will be negative. And since 23 is an odd number as well, the product of 23 positive numbers will also be positive. So, when you multiply them together, you get a negative number. Math, ain't it a peach?