Answer:
The possible values for the three factors are (1,1,-3), (-1,-1,-3) and (-1,1,3).
Step-by-step explanation:
It is given that the product of three integers is -3.
We need to find all of the possible values for the three factors.
Factors of -3 are [tex]\pm 1,\pm 3[/tex].
We know that the factored form of -3 are
[tex]-3=1\times 1\times (-3)[/tex]
[tex]-3=-1\times -1\times (-3)[/tex]
[tex]-3=-1\times 1\times 3[/tex]
[tex]-3=1\times -1\times 3[/tex]
But last two factors represents the same possibility, i.e., (-1,1,3).
Therefore, the possible values for the three factors are (1,1,-3), (-1,-1,-3) and (-1,1,3).
