Question

The product of three integers is -11. Determine all of the possible values for the three factors. Write each set of

three factors in order from least to greatest. Make sure that each set uses unique integers. Listing the sets in a
different order doesn't count.
Three possible products whose factors multiply to -11 are
DOC ), DO DO
), and
DO

Answer 1

Factor out 11

1 |11

|11

• Its a prime no hence has only 1 and 11 as factor .

NoW sets are

`\\ \rm\longmapsto \left\{1,1,-11\right\}`

`\\ \rm\longmapsto \left\{-1,-1,-11\right\}`

`\\ \rm\longmapsto \left\{1,-1,11\right\}`

Answer 2

Since -11 is a prime number, we have following possible options:

• -1, -1, -11
• -1, 1, 11
• 1, 1, -11