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Problems

Factorization

Factorization

Find the factorization of the given numbers. \InputFile Each line contains one positive integer $n~(n \le 10^7)$. \OutputFile For each input value $n$ print its factorization as shown in the sample input.
Time limit 1 second
Memory limit 128 MiB
Input example #1
504
7
14
1024
1100000

Output example #1
2^3*3^2*7
7
2*7
2^10
2^5*5^5*11