{
  "software": "apple-numbers",
  "function": "FACT",
  "native_application_execution": false,
  "checked_date": "2026-10-12",
  "method": "Independent mathematical/text-processing models, not Apple Numbers or Zoho Sheet execution; random tests check documented bounds/transforms, not randomness.",
  "official_function_reference": "https://support.apple.com/guide/functions/fact-ffa5908ce7/15.4/web/1.0",
  "passed": 9,
  "total": 9,
  "cases": [
    {
      "software": "apple-numbers",
      "function": "FACT",
      "expression": "=FACT(B2)",
      "variables": {
        "B2": 0.0
      },
      "expected": 1,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "FACT",
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      "variables": {
        "B3": 1.0
      },
      "expected": 1,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "FACT",
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      "variables": {
        "B4": 2.0
      },
      "expected": 2,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "FACT",
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      "variables": {
        "B5": 3.0
      },
      "expected": 6,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "FACT",
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        "B6": 4.5
      },
      "expected": 24,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "FACT",
      "expression": "=FACT(B7)",
      "variables": {
        "B7": 5.0
      },
      "expected": 120,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "FACT",
      "expression": "=FACT(B8)",
      "variables": {
        "B8": 6.0
      },
      "expected": 720,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "FACT",
      "expression": "=FACT(B9)",
      "variables": {
        "B9": 7.0
      },
      "expected": 5040,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "FACT",
      "expression": "=FACT(B10)",
      "variables": {
        "B10": 10.0
      },
      "expected": 3628800,
      "numeric": true,
      "scope": "recovered worked example"
    }
  ],
  "independent_results": [
    {
      "case": 166,
      "software": "apple-numbers",
      "function": "FACT",
      "expression": "=FACT(B2)",
      "actual_independent_model": 1,
      "expected": 1,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 167,
      "software": "apple-numbers",
      "function": "FACT",
      "expression": "=FACT(B3)",
      "actual_independent_model": 1,
      "expected": 1,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 168,
      "software": "apple-numbers",
      "function": "FACT",
      "expression": "=FACT(B4)",
      "actual_independent_model": 2,
      "expected": 2,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 169,
      "software": "apple-numbers",
      "function": "FACT",
      "expression": "=FACT(B5)",
      "actual_independent_model": 6,
      "expected": 6,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 170,
      "software": "apple-numbers",
      "function": "FACT",
      "expression": "=FACT(B6)",
      "actual_independent_model": 24,
      "expected": 24,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 171,
      "software": "apple-numbers",
      "function": "FACT",
      "expression": "=FACT(B7)",
      "actual_independent_model": 120,
      "expected": 120,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 172,
      "software": "apple-numbers",
      "function": "FACT",
      "expression": "=FACT(B8)",
      "actual_independent_model": 720,
      "expected": 720,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 173,
      "software": "apple-numbers",
      "function": "FACT",
      "expression": "=FACT(B9)",
      "actual_independent_model": 5040,
      "expected": 5040,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 174,
      "software": "apple-numbers",
      "function": "FACT",
      "expression": "=FACT(B10)",
      "actual_independent_model": 3628800,
      "expected": 3628800,
      "passed": true,
      "scope": "recovered worked example"
    }
  ]
}