Sort a number's divisors by prime factorization
05AB1E, 6 bytes
Code:
ÑÒí{€P

Explanation:
Ñ       # Get the divisors of input.
 Ò      # Factorize each.
  í     # Reverse each.
   {    # Sort the array.
    €P  # Product each.

Uses the CP-1252 encoding. Try it online!.