diff --git a/physical_quantities/CHANGELOG.md b/physical_quantities/CHANGELOG.md
index 601f98d..19cc309 100644
--- a/physical_quantities/CHANGELOG.md
+++ b/physical_quantities/CHANGELOG.md
@@ -41,6 +41,7 @@ The first public release. This is a further tidy-up after the 0.2.0 extraction:
 
 ### Fixed
 
+- A value that is a list, with a unit, is converted value by value: `{1, 2} km`, `1,2~\mathrm{km}` (LaTeX), `plus_minus 2 km` and `\pm 2~\mathrm{km}` give `standard_values` of 1000 and 2000 (or −2000 and 2000). Before, the unit factor multiplied the list as a whole, and `parse_quantity` raised `QuantityParseError`.
 - The roentgen was converted as kelvin per kilogram; it is 2.58×10⁻⁴ C/kg (ampere·second per kilogram).
 - The imperial pint was 0.00056826 m³; it is 0.00056826125 m³, so that 8 pints make a gallon.
 - `nautical_miles` is recognised as the plural of `nautical_mile`. Before, only `nauticalmiles` was, and in natural mode `2 nautical_miles` parsed as 2 nautical_mile·second.
diff --git a/physical_quantities/src/lambdafeedback/physical_quantities/_conversion.py b/physical_quantities/src/lambdafeedback/physical_quantities/_conversion.py
index d69d173..c890afd 100644
--- a/physical_quantities/src/lambdafeedback/physical_quantities/_conversion.py
+++ b/physical_quantities/src/lambdafeedback/physical_quantities/_conversion.py
@@ -9,6 +9,7 @@
 
 from lambdafeedback.expression_parsing import (
     SympyParsingConfig,
+    create_expression_set,
     parse_expression,
     parse_expressions,
     parse_latex,
@@ -85,6 +86,7 @@ def sympy_forms(
     value_text: Any = value.content_string() if value is not None else None
     if value_text is not None and params.is_latex:
         value_text = parse_latex(value_text, params.symbols, params.simplify)
+    standard_values: tuple[Basic, ...] | None = None
     standard_unit: Any = None
     expanded_unit: Any = None
     dimension: Basic = Integer(1)
@@ -99,10 +101,17 @@ def sympy_forms(
             base_symbols = {symbol: 1 for symbol in standard_unit.free_symbols if str(symbol) in _BASE_UNIT_NAMES}
             unit_factor = standard_unit.subs(base_symbols).simplify()
             standard_unit = (standard_unit / unit_factor).simplify(rational=True)
-            value_text = f"({value_text})*({unit_factor})"
+            if len(create_expression_set(value_text, config.substitution_params)) > 1:
+                # A list ({1, 2}, 1,2 in LaTeX, or ±): the factor applies to each value, not to the list.
+                factored_values = tuple(value * unit_factor for value in parse_expressions(value_text, config))
+                standard_values = tuple(dict.fromkeys(factored_values))
+            else:
+                value_text = f"({value_text})*({unit_factor})"
         dimension = parse_expression(substitute(expanded_unit_string, _BASE_UNIT_DIMENSIONS), config)
+    if standard_values is None and value_text is not None:
+        standard_values = parse_expressions(value_text, config)
     return SympyForms(
-        standard_values=None if value_text is None else parse_expressions(value_text, config),
+        standard_values=standard_values,
         standard_unit=standard_unit,
         expanded_unit=expanded_unit,
         dimension=dimension,
diff --git a/physical_quantities/tests/test_regressions.py b/physical_quantities/tests/test_regressions.py
index 53e4ae4..c9a0cf2 100644
--- a/physical_quantities/tests/test_regressions.py
+++ b/physical_quantities/tests/test_regressions.py
@@ -117,6 +117,21 @@ def test_latex_spacing_and_upright_units(self, expr, value, unit):
         quantity = parse_quantity(expr, QuantityParams(is_latex=True))
         assert (quantity.value.content_string(), quantity.unit.content_string()) == (value, unit)
 
+    @pytest.mark.parametrize(
+        "expr, is_latex, values",
+        [
+            ("{1, 2} km", False, {1000, 2000}),
+            ("plus_minus 2 km", False, {-2000, 2000}),
+            (r"1,2~\mathrm{km}", True, {1000, 2000}),
+            (r"\pm 2~\mathrm{km}", True, {-2000, 2000}),
+        ],
+    )
+    def test_unit_factor_applies_to_each_value_of_a_list(self, expr, is_latex, values):
+        # The factor multiplied the list as a whole, "((1, 2))*(1000)", which raised.
+        quantity = parse_quantity(expr, QuantityParams(is_latex=is_latex))
+        assert set(quantity.standard_values) == values
+        assert str(quantity.standard_unit) == "metre"
+
     @pytest.mark.parametrize("strictness", ["strict", "natural"])
     @pytest.mark.parametrize(
         "expr, unit",