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.

answer: the possible set of three factors are {-11, -1, 1}, {-1,11} and {1,11}

explanation:

it is given that the product of three integer is 11.

we know that the number 11 is a prime number so the factors of 11 are 1 and 11.

since we have to multiply three factors so we will use negative integers also.

the four factors of 11 are -11, -1 ,1 and 11. we   have to find three unique integers whose product is 11.

so the possible set three unique integers is {-11, -1, 1}.

in this we have three factors -1, -1 and 11. since -1 is repeated and in a set repetition of elements are not allowed therefore the set is defined as {-1,11}.

in this we have three factors 1, 1 and 11. since 1 is repeated and in a set repetition of elements are not allowed therefore the set is defined as {1,11}.

for other arrangement of factors we get the a set from the above mentioned sets. therefore, all the possible set of three factors are {-11, -1, 1}, {-1,11} and {1,11}.

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step-by-step explanation: