Given two positive integers, n and k, a factor of n is any positive integer i such that n % i == 0.

Construct a list of all factors of n in ascending order and return the $kth$ factor in this list. If n has fewer than k factors, return $-1$.

Constraints:

• $1 \leq$ k $\leq$ n $\leq 10^3$

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We have a game for you to play. Rearrange the logical building blocks to develop a clearer understanding of how to solve this problem.

Implement your solution in the following coding playground.