Python Prime Factorization

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Question

Write Python 3.12 code only.
Define exactly one function named prime_factors(n).
Return a list of prime factors in ascending order, with repetition.
Raise TypeError if n is not an int.
Raise ValueError if n <= 1.
Do not use any imports (no numpy, requests, or other libraries).
Sandbox note: dunder attribute access is blocked (for example, type(x).__name__). Avoid names/attributes starting with '__'.

Expected output format:
- Return exactly one fenced Markdown code block starting with ```python and ending with ```.
- Put only valid Python code inside that block (no prose before/after).
- Use 4 spaces for indentation (not tabs).
- Do not return JSON and do not wrap code in a "function" key.

Sample input/output behavior:
- prime_factors(36) -> [2, 2, 3, 3]

Task:
Write a Python 3.12 function for prime factorization.

Question payload

{
  "question_text": "Write Python 3.12 code only.\nDefine exactly one function named prime_factors(n).\nReturn a list of prime factors in ascending order, with repetition.\nRaise TypeError if n is not an int.\nRaise ValueError if n <= 1.\nDo not use any imports (no numpy, requests, or other libraries).\nSandbox note: dunder attribute access is blocked (for example, type(x).__name__). Avoid names/attributes starting with '__'.\n\nExpected output format:\n- Return exactly one fenced Markdown code block starting with ```python and ending with ```.\n- Put only valid Python code inside that block (no prose before/after).\n- Use 4 spaces for indentation (not tabs).\n- Do not return JSON and do not wrap code in a \"function\" key.\n\nSample input/output behavior:\n- prime_factors(36) -> [2, 2, 3, 3]\n\nTask:\nWrite a Python 3.12 function for prime factorization.",
  "answer_type": "free_text",
  "correct_answer": {
    "function_name": "prime_factors",
    "test_cases": [
      {
        "args": [
          2
        ],
        "expected": [
          2
        ]
      },
      {
        "args": [
          12
        ],
        "expected": [
          2,
          2,
          3
        ]
      },
      {
        "args": [
          36
        ],
        "expected": [
          2,
          2,
          3,
          3
        ]
      },
      {
        "args": [
          97
        ],
        "expected": [
          97
        ]
      },
      {
        "args": [
          999
        ],
        "expected": [
          3,
          3,
          3,
          37
        ]
      },
      {
        "args": [
          1024
        ],
        "expected": [
          2,
          2,
          2,
          2,
          2,
          2,
          2,
          2,
          2,
          2
        ]
      },
      {
        "args": [
          1
        ],
        "expected_exception": "ValueError"
      },
      {
        "args": [
          0
        ],
        "expected_exception": "ValueError"
      },
      {
        "args": [
          -10
        ],
        "expected_exception": "ValueError"
      },
      {
        "args": [
          3.14
        ],
        "expected_exception": [
          "TypeError",
          "ValueError"
        ]
      }
    ]
  },
  "category": "coding",
  "difficulty": "medium",
  "tags": [
    "python",
    "coding",
    "security"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.0,
    "alternatives": []
  }
}