Question

two distinct positive integers $x$ and $y$ are factors of 36. if $x\cdot y$ is not a factor of 36, what is the smallest possible value of $x\cdot y$?

Answer 1

The smallest possible value of XY is 8 which is not the factor of 36

Given that Two distinct positive integers X and Y are factors of 36 and asked for The smallest possible value of XY  which is not the factor of 36.

Integer:

An integer is a number that has no decimal or fractional part and can be either either negative or positive, which include zero. Here are some examples of integers: -5, 0, 1, 5, 8, 97, and 3,567

The set of value of X is 1,2,3,4,6,9,12,18,36

i.e. X∈{ 1,2,3,4,6,9,12,18,36}

The set of value of Y is 1,2,3,4,6,9,12,18,36

i.e. Y∈{ 1,2,3,4,6,9,12,18,36}

Possible value of XY= 1,2,3,4,6,8...........

i.e XY∈{ 1,2,3,4,6,8.............}

Therefore,The smallest possible value of XY is 8 which is not the factor of 36

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