diff --git a/pandas/tests/extension/conftest.py b/pandas/tests/extension/conftest.py
index 85bbafbeb5129..9e1b44d3bac02 100644
--- a/pandas/tests/extension/conftest.py
+++ b/pandas/tests/extension/conftest.py
@@ -27,7 +27,11 @@ def data():
 
 @pytest.fixture
 def data_for_twos():
-    """Length-100 array in which all the elements are two."""
+    """
+    Length-100 array in which all the elements are two.
+
+    Call pytest.skip in your fixture if the dtype does not support divmod.
+    """
     raise NotImplementedError
 
 
diff --git a/pandas/tests/extension/json/test_json.py b/pandas/tests/extension/json/test_json.py
index 0c9abd45a51a5..011e44357c6b0 100644
--- a/pandas/tests/extension/json/test_json.py
+++ b/pandas/tests/extension/json/test_json.py
@@ -78,6 +78,11 @@ def data_for_grouping():
     )
 
 
+@pytest.fixture
+def data_for_twos(dtype):
+    pytest.skip("Not a numeric dtype")
+
+
 class BaseJSON:
     pass
 
@@ -317,12 +322,6 @@ def test_add_series_with_extension_array(self, data):
         with pytest.raises(TypeError, match="unsupported"):
             ser + data
 
-    @pytest.mark.xfail(reason="not implemented")
-    def test_divmod_series_array(self):
-        # GH 23287
-        # skipping because it is not implemented
-        super().test_divmod_series_array()
-
 
 class TestComparisonOps(BaseJSON, base.BaseComparisonOpsTests):
     pass
diff --git a/pandas/tests/extension/test_arrow.py b/pandas/tests/extension/test_arrow.py
index 2438626cf0347..5c00189da48a1 100644
--- a/pandas/tests/extension/test_arrow.py
+++ b/pandas/tests/extension/test_arrow.py
@@ -253,10 +253,16 @@ def data_missing_for_sorting(data_for_grouping):
 def data_for_twos(data):
     """Length-100 array in which all the elements are two."""
     pa_dtype = data.dtype.pyarrow_dtype
-    if pa.types.is_integer(pa_dtype) or pa.types.is_floating(pa_dtype):
+    if (
+        pa.types.is_integer(pa_dtype)
+        or pa.types.is_floating(pa_dtype)
+        or pa.types.is_decimal(pa_dtype)
+        or pa.types.is_duration(pa_dtype)
+    ):
         return pd.array([2] * 100, dtype=data.dtype)
     # tests will be xfailed where 2 is not a valid scalar for pa_dtype
     return data
+    # TODO: skip otherwise?
 
 
 @pytest.fixture
diff --git a/pandas/tests/extension/test_categorical.py b/pandas/tests/extension/test_categorical.py
index 5de1debb21d93..c5a8a1c85ecfe 100644
--- a/pandas/tests/extension/test_categorical.py
+++ b/pandas/tests/extension/test_categorical.py
@@ -71,6 +71,11 @@ def data_missing_for_sorting():
     return Categorical(["A", None, "B"], categories=["B", "A"], ordered=True)
 
 
+@pytest.fixture
+def data_for_twos(dtype):
+    pytest.skip("Not a numeric dtype")
+
+
 @pytest.fixture
 def na_value():
     return np.nan
@@ -263,11 +268,6 @@ def test_add_series_with_extension_array(self, data):
         with pytest.raises(TypeError, match="cannot perform|unsupported operand"):
             ser + data
 
-    def test_divmod_series_array(self):
-        # GH 23287
-        # skipping because it is not implemented
-        pass
-
 
 class TestComparisonOps(base.BaseComparisonOpsTests):
     def _compare_other(self, s, data, op, other):
diff --git a/pandas/tests/extension/test_datetime.py b/pandas/tests/extension/test_datetime.py
index ab21f768e6521..7183831329d27 100644
--- a/pandas/tests/extension/test_datetime.py
+++ b/pandas/tests/extension/test_datetime.py
@@ -73,6 +73,11 @@ def data_for_grouping(dtype):
     )
 
 
+@pytest.fixture
+def data_for_twos(dtype):
+    pytest.skip("Not a numeric dtype.")
+
+
 @pytest.fixture
 def na_cmp():
     def cmp(a, b):
@@ -142,11 +147,6 @@ def test_add_series_with_extension_array(self, data):
         with pytest.raises(TypeError, match=msg):
             ser + data
 
-    def test_divmod_series_array(self):
-        # GH 23287
-        # skipping because it is not implemented
-        pass
-
 
 class TestCasting(BaseDatetimeTests, base.BaseCastingTests):
     pass
diff --git a/pandas/tests/extension/test_numpy.py b/pandas/tests/extension/test_numpy.py
index 13645065bce14..4e8d30f62278c 100644
--- a/pandas/tests/extension/test_numpy.py
+++ b/pandas/tests/extension/test_numpy.py
@@ -153,6 +153,14 @@ def data_for_grouping(allow_in_pandas, dtype):
     )
 
 
+@pytest.fixture
+def data_for_twos(dtype):
+    if dtype.kind == "O":
+        pytest.skip("Not a numeric dtype")
+    arr = np.ones(100) * 2
+    return NumpyExtensionArray._from_sequence(arr, dtype=dtype)
+
+
 @pytest.fixture
 def skip_numpy_object(dtype, request):
     """
@@ -278,11 +286,6 @@ class TestArithmetics(BaseNumPyTests, base.BaseArithmeticOpsTests):
     def test_divmod(self, data):
         super().test_divmod(data)
 
-    @skip_nested
-    def test_divmod_series_array(self, data):
-        ser = pd.Series(data)
-        self._check_divmod_op(ser, divmod, data)
-
     @skip_nested
     def test_arith_series_with_scalar(self, data, all_arithmetic_operators):
         super().test_arith_series_with_scalar(data, all_arithmetic_operators)
diff --git a/pandas/tests/extension/test_period.py b/pandas/tests/extension/test_period.py
index 7b6bc98ee8c05..8fc4d739922a7 100644
--- a/pandas/tests/extension/test_period.py
+++ b/pandas/tests/extension/test_period.py
@@ -40,7 +40,7 @@ def data(dtype):
 
 @pytest.fixture
 def data_for_twos(dtype):
-    return PeriodArray(np.ones(100) * 2, dtype=dtype)
+    pytest.skip("Not a numeric dtype")
 
 
 @pytest.fixture