Prime Factorization

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Points: 7
Time limit: 1.0s
Memory limit: 128M

Problem type

Oh no! Phoenix1369 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.

Input Specification

The input begins with an integer N, where 1 \le N \le 1000, indicating the number of lines to follow.
The next N lines will each contain a testcase in the form of a single natural number M, where 2 \le M \le 10^7.

Output Specification

For each integer M, your program should output the prime factorization of M on a single line, separated with single spaces and sorted in non-decreasing order.

Sample Input


Sample Output

2 3 7
2 3 3 37
37 37


  • 2
    Ehsian  commented on Jan. 20, 2021, 12:17 p.m. edited

    Tips to avoid TLE in java?

    Edit: Figured it out

    • 1
      billsboard  commented on Jan. 20, 2021, 12:19 p.m.

      BigInteger is slow. Don't use it, as it's not required for this problem.

      • 0
        31501357  commented on Jan. 20, 2021, 9:34 p.m.

        You don't even need longs to solve it.