diff --git a/keras_core/layers/preprocessing/rescaling.py b/keras_core/layers/preprocessing/rescaling.py
index 50c90c23d..8772ce741 100644
--- a/keras_core/layers/preprocessing/rescaling.py
+++ b/keras_core/layers/preprocessing/rescaling.py
@@ -1,3 +1,4 @@
+from keras_core import backend
 from keras_core.api_export import keras_core_export
 from keras_core.layers.preprocessing.tf_data_layer import TFDataLayer
 
@@ -40,6 +41,14 @@ def call(self, inputs):
         dtype = self.compute_dtype
         scale = self.backend.cast(self.scale, dtype)
         offset = self.backend.cast(self.offset, dtype)
+        scale_shape = self.backend.core.shape(scale)
+        if (
+            len(scale_shape) > 0
+            and backend.image_data_format() == "channels_first"
+        ):
+            scale = self.backend.numpy.reshape(
+                scale, scale_shape + (1,) * (3 - len(scale_shape))
+            )
         return self.backend.cast(inputs, dtype) * scale + offset
 
     def compute_output_shape(self, input_shape):
diff --git a/keras_core/layers/preprocessing/rescaling_test.py b/keras_core/layers/preprocessing/rescaling_test.py
index 6bdf61cff..2852204c6 100644
--- a/keras_core/layers/preprocessing/rescaling_test.py
+++ b/keras_core/layers/preprocessing/rescaling_test.py
@@ -2,6 +2,7 @@
 import pytest
 import tensorflow as tf
 
+from keras_core import backend
 from keras_core import layers
 from keras_core import testing
 
@@ -73,3 +74,13 @@ def test_tf_data_compatibility(self):
         ds = tf.data.Dataset.from_tensor_slices(x).batch(3).map(layer)
         for output in ds.take(1):
             output.numpy()
+
+    def test_rescaling_with_channels_first_and_vector_scale(self):
+        config = backend.image_data_format()
+        backend.set_image_data_format("channels_first")
+        layer = layers.Rescaling(
+            scale=[1.0 / 255, 1.5 / 255, 2.0 / 255], offset=0.5
+        )
+        x = np.random.random((2, 3, 10, 10)) * 255
+        layer(x)
+        backend.set_image_data_format(config)