+80 Given a positive integer N, a multiplication decomposition of N is a sequence of positive integers (d_1, d_2, \dots, d_k) such that
* d_1 \neq 1,
* d_i divides d_{i + 1} for 1 \le i \le k - 1, and
* d_1 d_2 \dotsm d_k = N.
The last term d_k is called the tail of the multiplication decomposition.
For example, (2,2,6), (2,12), and (24) are multiplication decompositions of 24, and their tails are 6, 12, and 24.
Find all multiplication decompositions of the number 24.
