You are given two positive integers n
and k
. A factor of an integer n
is defined as an integer i
where n % i == 0
.
Consider a list of all factors of n
sorted in ascending order, return the k^{th}
factor in this list or return 1
if n has less than k
factors.
Example 1:
Input: n = 12, k = 3
Output: 3
Explanation: Factors list is [1, 2, 3, 4, 6, 12], the 3rd factor is 3.
Example 2:
Input: n = 7, k = 2
Output: 7
Explanation: Factors list is [1, 7], the 2nd factor is 7.
Example 3:
Input: n = 4, k = 4
Output: 1
Explanation: Factors list is [1, 2, 4], there is only 3 factors. We should return 1.
Constraints:
1 <= k <= n <= 1000

