Given a positive number n > 1 find the prime factor decomposition of n.
The result will be a string with the following form :
```
 "(p1**n1)(p2**n2)...(pk**nk)"
```
where ```a ** b``` means ```a``` to the power of ```b```

with the p(i) in increasing order and n(i) empty if
n(i) is 1.
```
Example: n = 86240 should return "(2**5)(5)(7**2)(11)"
```

```python

USER_FILENAME = "<user_code>"
import sys, json, builtins
import math, heapq, bisect, itertools, functools, collections, statistics, fractions, decimal, operator, array, random, re, string, os, pathlib
try:
    import resource as _res
except Exception:
    _res = None
from collections import Counter, defaultdict, deque, OrderedDict
from functools import lru_cache, reduce
from itertools import accumulate, permutations, combinations, product
from math import gcd, ceil, floor, sqrt
from decimal import Decimal
try:
    from typing import *
except Exception:
    pass
try:
    sys.setrecursionlimit(1_000_000)
except Exception:
    pass
try:
    import site as _site
    try:
        _sys_sites = _site.getsitepackages() if hasattr(_site, "getsitepackages") else []
        for _p in _sys_sites:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
    try:
        _usp = _site.getusersitepackages()
        if isinstance(_usp, str):
            _usp = [_usp]
        for _p in _usp:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
except Exception:
    pass

def _disabled_input(*args, **kwargs):
    raise RuntimeError("input() is disabled in callable mode")
builtins.input = _disabled_input

ns = {"__name__": "__judge__"}  # prevent if __name__ == "__main__" blocks
for _k, _v in list(globals().items()):
    if not _k.startswith("_"):
        ns[_k] = _v
_CODE = 'import math\n\ndef primeFactors(n):\n    # returns the maximum prime factor\n    max = maxPrimeFactors(n)\n    \n    # factorize n and stores factors in facts\n    facts = []\n    for i in range(2, int(max + 1)):\n        while n % i == 0:\n            facts.append(i)\n            n = n/i\n    \n    # removes duplicates for ret and sorts the list\n    facts_nodup = list(set(facts))\n    facts_nodup.sort()\n    # formats return string\n    ret_str = ""\n    for x in facts_nodup:\n        count = facts.count(x)\n        if count > 1:\n            ret_str += "({}**{})".format(x, count)\n        else:\n             ret_str += "({})".format(x)\n             \n    return ret_str\n    \n# A function to find largest prime factor    \ndef maxPrimeFactors(n): \n      \n    # Initialize the maximum prime factor \n    # variable with the lowest one \n    maxPrime = -1\n      \n    # Print the number of 2s that divide n \n    while n % 2 == 0: \n        maxPrime = 2\n        n >>= 1     # equivalent to n /= 2 \n          \n    # n must be odd at this point,  \n    # thus skip the even numbers and  \n    # iterate only for odd integers \n    for i in range(3, int(math.sqrt(n)) + 1, 2): \n        while n % i == 0: \n            maxPrime = i \n            n = n / i \n      \n    # This condition is to handle the  \n    # case when n is a prime number  \n    # greater than 2 \n    if n > 2: \n        maxPrime = n \n      \n    return int(maxPrime) \n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'primeFactors'
if _fn_name:
    if "Solution" in ns:
        try:
            _obj = ns["Solution"]()
            if hasattr(_obj, _fn_name):
                _target = getattr(_obj, _fn_name)
        except Exception:
            _target = None
    if _target is None and _fn_name in ns and callable(ns[_fn_name]):
        _target = ns[_fn_name]
# Fallback: if there's exactly one user-defined function, use it
if _target is None:
    _cands = [v for k, v in ns.items() if callable(v) and getattr(v, "__module__", "") in ("__judge__", "__main__")]
    _user_funcs = [c for c in _cands if getattr(c, "__name__", "").startswith("_") is False]
    if len(_user_funcs) == 1:
        _target = _user_funcs[0]
if _target is None:
    raise RuntimeError(f"Could not resolve callable '{_fn_name}'")

_raw = sys.stdin.read().strip()
if _raw:
    _parsed = json.loads(_raw)
    if isinstance(_parsed, dict):
        _kwargs = _parsed.get("kwargs", {})
        _args = _parsed.get("args", [])
    else:
        _args, _kwargs = _parsed, {}
else:
    _args, _kwargs = [], {}
if not isinstance(_args, (list, tuple)):
    _args = [_args]
_res = _target(*_args, **_kwargs)
try:
    sys.stdout.write(repr(_res) + "\n")
except Exception:
    pass

```

Measured memory_bytes: 6566