code: def test_IsFactorial(self) -> None:
      self.assertFalse(self.batch.is_factorial)
  
      # Insufficient factors
      small_experiment = Experiment(
          name="small_test",
          search_space=SearchSpace(
              [FixedParameter("a", ParameterType.INT, 4)]
          ),
      )
      small_trial = small_experiment.new_batch_trial().add_arm(
          Arm({"a": 4})
      )
      self.assertFalse(small_trial.is_factorial)
  
      new_batch_trial = self.experiment.new_batch_trial()
      new_batch_trial.add_arms_and_weights(
          arms=[
              Arm(
                  parameters={"w": 0.75, "x": 1, "y": "foo", "z": True}
              ),
              Arm(
                  parameters={"w": 0.75, "x": 2, "y": "foo", "z": True}
              ),
              Arm(
                  parameters={"w": 0.77, "x": 1, "y": "foo", "z": True}
              ),
          ]
      )
      self.assertFalse(new_batch_trial.is_factorial)
  
      new_batch_trial = self.experiment.new_batch_trial()
      new_batch_trial.add_arms_and_weights(
          arms=[
              Arm(
                  parameters={"w": 0.77, "x": 1, "y": "foo", "z": True}
              ),
              Arm(
                  parameters={"w": 0.77, "x": 2, "y": "foo", "z": True}
              ),
              Arm(
                  parameters={"w": 0.75, "x": 1, "y": "foo", "z": True}
              ),
              Arm(
                  parameters={"w": 0.75, "x": 2, "y": "foo", "z": True}
              ),
          ]
      )
      self.assertTrue(new_batch_trial.is_factorial)
  
imports: import math
  from time import sleep
  from unittest import mock
  from unittest.mock import patch, PropertyMock
  import numpy
  from ax.core.arm import Arm
  from ax.core.base_trial import TrialStatus
  from ax.core.batch_trial import BatchTrial, GeneratorRunStruct
  from ax.core.experiment import Experiment
  from ax.core.generator_run import GeneratorRun, GeneratorRunType
  from ax.core.parameter import FixedParameter, ParameterType
  from ax.core.search_space import SearchSpace
  from ax.runners.synthetic import SyntheticRunner
  from ax.utils.common.testutils import TestCase
  from ax.utils.common.typeutils import checked_cast
  from ax.utils.testing.core_stubs import get_abandoned_arm, get_arm, get_arm_weights1, get_arms, get_experiment, get_generator_run, get_generator_run2, get_weights
label_desc: Use image node_id 20 for calling the BatchTrialTest obj's underlying member method code with example usage: obj.test_IsFactorial() without return types