diff --git a/monai/data/synthetic.py b/monai/data/synthetic.py
index 20a7829cab..6eec9fd277 100644
--- a/monai/data/synthetic.py
+++ b/monai/data/synthetic.py
@@ -76,7 +76,7 @@ def create_test_image_2d(
     labels = np.ceil(image).astype(np.int32)
 
     norm = rs.uniform(0, num_seg_classes * noise_max, size=image.shape)
-    noisyimage = rescale_array(np.maximum(image, norm))
+    noisyimage: np.ndarray = rescale_array(np.maximum(image, norm))  # type: ignore
 
     if channel_dim is not None:
         if not (isinstance(channel_dim, int) and channel_dim in (-1, 0, 2)):
@@ -151,7 +151,7 @@ def create_test_image_3d(
     labels = np.ceil(image).astype(np.int32)
 
     norm = rs.uniform(0, num_seg_classes * noise_max, size=image.shape)
-    noisyimage = rescale_array(np.maximum(image, norm))
+    noisyimage: np.ndarray = rescale_array(np.maximum(image, norm))  # type: ignore
 
     if channel_dim is not None:
         if not (isinstance(channel_dim, int) and channel_dim in (-1, 0, 3)):
diff --git a/monai/transforms/intensity/array.py b/monai/transforms/intensity/array.py
index 8b2bf32145..46c512c96c 100644
--- a/monai/transforms/intensity/array.py
+++ b/monai/transforms/intensity/array.py
@@ -373,6 +373,8 @@ class ScaleIntensity(Transform):
     If `minv` and `maxv` not provided, use `factor` to scale image by ``v = v * (1 + factor)``.
     """
 
+    backend = [TransformBackends.TORCH, TransformBackends.NUMPY]
+
     def __init__(
         self, minv: Optional[float] = 0.0, maxv: Optional[float] = 1.0, factor: Optional[float] = None
     ) -> None:
@@ -387,7 +389,7 @@ def __init__(
         self.maxv = maxv
         self.factor = factor
 
-    def __call__(self, img: np.ndarray) -> np.ndarray:
+    def __call__(self, img: NdarrayOrTensor) -> NdarrayOrTensor:
         """
         Apply the transform to `img`.
 
@@ -396,9 +398,11 @@ def __call__(self, img: np.ndarray) -> np.ndarray:
 
         """
         if self.minv is not None and self.maxv is not None:
-            return np.asarray(rescale_array(img, self.minv, self.maxv, img.dtype))
+            return rescale_array(img, self.minv, self.maxv, img.dtype)
         if self.factor is not None:
-            return np.asarray(img * (1 + self.factor), dtype=img.dtype)
+            out = img * (1 + self.factor)
+            out, *_ = convert_data_type(out, dtype=img.dtype)
+            return out
         raise ValueError("Incompatible values: minv=None or maxv=None and factor=None.")
 
 
@@ -408,6 +412,8 @@ class RandScaleIntensity(RandomizableTransform):
     is randomly picked.
     """
 
+    backend = ScaleIntensity.backend
+
     def __init__(self, factors: Union[Tuple[float, float], float], prob: float = 0.1) -> None:
         """
         Args:
@@ -429,7 +435,7 @@ def randomize(self, data: Optional[Any] = None) -> None:
         self.factor = self.R.uniform(low=self.factors[0], high=self.factors[1])
         super().randomize(None)
 
-    def __call__(self, img: np.ndarray) -> np.ndarray:
+    def __call__(self, img: NdarrayOrTensor) -> NdarrayOrTensor:
         """
         Apply the transform to `img`.
         """
diff --git a/monai/transforms/intensity/dictionary.py b/monai/transforms/intensity/dictionary.py
index bce45b57d3..227b6fb434 100644
--- a/monai/transforms/intensity/dictionary.py
+++ b/monai/transforms/intensity/dictionary.py
@@ -472,6 +472,8 @@ class ScaleIntensityd(MapTransform):
     If `minv` and `maxv` not provided, use `factor` to scale image by ``v = v * (1 + factor)``.
     """
 
+    backend = ScaleIntensity.backend
+
     def __init__(
         self,
         keys: KeysCollection,
@@ -494,7 +496,7 @@ def __init__(
         super().__init__(keys, allow_missing_keys)
         self.scaler = ScaleIntensity(minv, maxv, factor)
 
-    def __call__(self, data: Mapping[Hashable, np.ndarray]) -> Dict[Hashable, np.ndarray]:
+    def __call__(self, data: Mapping[Hashable, NdarrayOrTensor]) -> Dict[Hashable, NdarrayOrTensor]:
         d = dict(data)
         for key in self.key_iterator(d):
             d[key] = self.scaler(d[key])
@@ -506,6 +508,8 @@ class RandScaleIntensityd(RandomizableTransform, MapTransform):
     Dictionary-based version :py:class:`monai.transforms.RandScaleIntensity`.
     """
 
+    backend = ScaleIntensity.backend
+
     def __init__(
         self,
         keys: KeysCollection,
@@ -539,7 +543,7 @@ def randomize(self, data: Optional[Any] = None) -> None:
         self.factor = self.R.uniform(low=self.factors[0], high=self.factors[1])
         super().randomize(None)
 
-    def __call__(self, data: Mapping[Hashable, np.ndarray]) -> Dict[Hashable, np.ndarray]:
+    def __call__(self, data: Mapping[Hashable, NdarrayOrTensor]) -> Dict[Hashable, NdarrayOrTensor]:
         d = dict(data)
         self.randomize()
         if not self._do_transform:
diff --git a/monai/transforms/utils.py b/monai/transforms/utils.py
index e81cb7ca17..e3e61b6c97 100644
--- a/monai/transforms/utils.py
+++ b/monai/transforms/utils.py
@@ -22,6 +22,7 @@
 import monai
 import monai.transforms.transform
 from monai.config import DtypeLike, IndexSelection
+from monai.config.type_definitions import NdarrayOrTensor
 from monai.networks.layers import GaussianFilter
 from monai.transforms.compose import Compose, OneOf
 from monai.transforms.transform import MapTransform, Transform
@@ -37,6 +38,7 @@
     min_version,
     optional_import,
 )
+from monai.utils.type_conversion import convert_data_type
 
 measure, _ = optional_import("skimage.measure", "0.14.2", min_version)
 ndimage, _ = optional_import("scipy.ndimage")
@@ -130,15 +132,17 @@ def zero_margins(img: np.ndarray, margin: int) -> bool:
     return not np.any(img[:, :margin, :]) and not np.any(img[:, -margin:, :])
 
 
-def rescale_array(arr: np.ndarray, minv: float = 0.0, maxv: float = 1.0, dtype: DtypeLike = np.float32):
+def rescale_array(
+    arr: NdarrayOrTensor, minv: float = 0.0, maxv: float = 1.0, dtype: Union[DtypeLike, torch.dtype] = np.float32
+) -> NdarrayOrTensor:
     """
     Rescale the values of numpy array `arr` to be from `minv` to `maxv`.
     """
     if dtype is not None:
-        arr = arr.astype(dtype)
+        arr, *_ = convert_data_type(arr, dtype=dtype)
 
-    mina = np.min(arr)
-    maxa = np.max(arr)
+    mina = arr.min()
+    maxa = arr.max()
 
     if mina == maxa:
         return arr * minv
diff --git a/monai/visualize/img2tensorboard.py b/monai/visualize/img2tensorboard.py
index 4a17607320..ccdbdc2396 100644
--- a/monai/visualize/img2tensorboard.py
+++ b/monai/visualize/img2tensorboard.py
@@ -188,7 +188,7 @@ def plot_2d_or_3d_image(
     d: np.ndarray = data_index.detach().cpu().numpy() if isinstance(data_index, torch.Tensor) else data_index
 
     if d.ndim == 2:
-        d = rescale_array(d, 0, 1)
+        d = rescale_array(d, 0, 1)  # type: ignore
         dataformats = "HW"
         writer.add_image(f"{tag}_{dataformats}", d, step, dataformats=dataformats)
         return
diff --git a/tests/test_rand_scale_intensity.py b/tests/test_rand_scale_intensity.py
index 2126301758..750d88bfad 100644
--- a/tests/test_rand_scale_intensity.py
+++ b/tests/test_rand_scale_intensity.py
@@ -14,17 +14,18 @@
 import numpy as np
 
 from monai.transforms import RandScaleIntensity
-from tests.utils import NumpyImageTestCase2D
+from tests.utils import TEST_NDARRAYS, NumpyImageTestCase2D, assert_allclose
 
 
 class TestRandScaleIntensity(NumpyImageTestCase2D):
     def test_value(self):
-        scaler = RandScaleIntensity(factors=0.5, prob=1.0)
-        scaler.set_random_state(seed=0)
-        result = scaler(self.imt)
-        np.random.seed(0)
-        expected = (self.imt * (1 + np.random.uniform(low=-0.5, high=0.5))).astype(np.float32)
-        np.testing.assert_allclose(result, expected)
+        for p in TEST_NDARRAYS:
+            scaler = RandScaleIntensity(factors=0.5, prob=1.0)
+            scaler.set_random_state(seed=0)
+            result = scaler(p(self.imt))
+            np.random.seed(0)
+            expected = p((self.imt * (1 + np.random.uniform(low=-0.5, high=0.5))).astype(np.float32))
+            assert_allclose(result, expected, rtol=1e-7, atol=0)
 
 
 if __name__ == "__main__":
diff --git a/tests/test_rand_scale_intensityd.py b/tests/test_rand_scale_intensityd.py
index 6e207e3cc2..a8d2e63f65 100644
--- a/tests/test_rand_scale_intensityd.py
+++ b/tests/test_rand_scale_intensityd.py
@@ -14,18 +14,19 @@
 import numpy as np
 
 from monai.transforms import RandScaleIntensityd
-from tests.utils import NumpyImageTestCase2D
+from tests.utils import TEST_NDARRAYS, NumpyImageTestCase2D, assert_allclose
 
 
 class TestRandScaleIntensityd(NumpyImageTestCase2D):
     def test_value(self):
-        key = "img"
-        scaler = RandScaleIntensityd(keys=[key], factors=0.5, prob=1.0)
-        scaler.set_random_state(seed=0)
-        result = scaler({key: self.imt})
-        np.random.seed(0)
-        expected = (self.imt * (1 + np.random.uniform(low=-0.5, high=0.5))).astype(np.float32)
-        np.testing.assert_allclose(result[key], expected)
+        for p in TEST_NDARRAYS:
+            key = "img"
+            scaler = RandScaleIntensityd(keys=[key], factors=0.5, prob=1.0)
+            scaler.set_random_state(seed=0)
+            result = scaler({key: p(self.imt)})
+            np.random.seed(0)
+            expected = (self.imt * (1 + np.random.uniform(low=-0.5, high=0.5))).astype(np.float32)
+            assert_allclose(result[key], expected)
 
 
 if __name__ == "__main__":
diff --git a/tests/test_scale_intensity.py b/tests/test_scale_intensity.py
index 61e89191fd..c2485af616 100644
--- a/tests/test_scale_intensity.py
+++ b/tests/test_scale_intensity.py
@@ -14,24 +14,26 @@
 import numpy as np
 
 from monai.transforms import ScaleIntensity
-from tests.utils import NumpyImageTestCase2D
+from tests.utils import TEST_NDARRAYS, NumpyImageTestCase2D, assert_allclose
 
 
 class TestScaleIntensity(NumpyImageTestCase2D):
     def test_range_scale(self):
-        scaler = ScaleIntensity(minv=1.0, maxv=2.0)
-        result = scaler(self.imt)
-        mina = np.min(self.imt)
-        maxa = np.max(self.imt)
-        norm = (self.imt - mina) / (maxa - mina)
-        expected = (norm * (2.0 - 1.0)) + 1.0
-        np.testing.assert_allclose(result, expected)
+        for p in TEST_NDARRAYS:
+            scaler = ScaleIntensity(minv=1.0, maxv=2.0)
+            result = scaler(p(self.imt))
+            mina = self.imt.min()
+            maxa = self.imt.max()
+            norm = (self.imt - mina) / (maxa - mina)
+            expected = p((norm * (2.0 - 1.0)) + 1.0)
+            assert_allclose(result, expected, rtol=1e-7, atol=0)
 
     def test_factor_scale(self):
-        scaler = ScaleIntensity(minv=None, maxv=None, factor=0.1)
-        result = scaler(self.imt)
-        expected = (self.imt * (1 + 0.1)).astype(np.float32)
-        np.testing.assert_allclose(result, expected)
+        for p in TEST_NDARRAYS:
+            scaler = ScaleIntensity(minv=None, maxv=None, factor=0.1)
+            result = scaler(p(self.imt))
+            expected = p((self.imt * (1 + 0.1)).astype(np.float32))
+            assert_allclose(result, expected, rtol=1e-7, atol=0)
 
 
 if __name__ == "__main__":
diff --git a/tests/test_scale_intensityd.py b/tests/test_scale_intensityd.py
index 688c99c6af..6e13dbc272 100644
--- a/tests/test_scale_intensityd.py
+++ b/tests/test_scale_intensityd.py
@@ -14,26 +14,28 @@
 import numpy as np
 
 from monai.transforms import ScaleIntensityd
-from tests.utils import NumpyImageTestCase2D
+from tests.utils import TEST_NDARRAYS, NumpyImageTestCase2D, assert_allclose
 
 
 class TestScaleIntensityd(NumpyImageTestCase2D):
     def test_range_scale(self):
-        key = "img"
-        scaler = ScaleIntensityd(keys=[key], minv=1.0, maxv=2.0)
-        result = scaler({key: self.imt})
-        mina = np.min(self.imt)
-        maxa = np.max(self.imt)
-        norm = (self.imt - mina) / (maxa - mina)
-        expected = (norm * (2.0 - 1.0)) + 1.0
-        np.testing.assert_allclose(result[key], expected)
+        for p in TEST_NDARRAYS:
+            key = "img"
+            scaler = ScaleIntensityd(keys=[key], minv=1.0, maxv=2.0)
+            result = scaler({key: p(self.imt)})
+            mina = np.min(self.imt)
+            maxa = np.max(self.imt)
+            norm = (self.imt - mina) / (maxa - mina)
+            expected = (norm * (2.0 - 1.0)) + 1.0
+            assert_allclose(result[key], expected)
 
     def test_factor_scale(self):
-        key = "img"
-        scaler = ScaleIntensityd(keys=[key], minv=None, maxv=None, factor=0.1)
-        result = scaler({key: self.imt})
-        expected = (self.imt * (1 + 0.1)).astype(np.float32)
-        np.testing.assert_allclose(result[key], expected)
+        for p in TEST_NDARRAYS:
+            key = "img"
+            scaler = ScaleIntensityd(keys=[key], minv=None, maxv=None, factor=0.1)
+            result = scaler({key: p(self.imt)})
+            expected = (self.imt * (1 + 0.1)).astype(np.float32)
+            assert_allclose(result[key], expected)
 
 
 if __name__ == "__main__":