In the given factor tree, $X \times Y$ will be:

Given:

The factor tree of $24$.

We have to find $X \times Y$.

The smallest prime factor of $12$ is $2$, so $X \times Y=2\times 6$.

$X \times Y\ne 3\times 4$ as $3$ is not the smallest prime factor of $12$.

$X \times Y\ne 4\times 3$ as $4$ is not a prime number.

$X \times Y\ne 1\times 12$ as $1$ is not a prime number.

Hence, option A is correct.