Oh no!is taking ICS this semester and once again, he has left his homework to the last minute. Luckily, it only consisted of one question:
Given a list of natural numbers, output the prime factorization of each number.
Unfortunately, he was too busy typing up this problem statement to do it.
Would you write a program that does his homework for him? As compensation, he will gladly reward you with seven points.
The input begins with an integer , where , indicating the number of lines to follow.
The next lines will each contain a testcase in the form of a single natural number , where .
For each integer , your program should output the prime factorization of on a single line, separated with single spaces and sorted in non-decreasing order.
5 3 13 42 666 1369
3 13 2 3 7 2 3 3 37 37 37