gistfile1.cs

public class Foo : IFoo
{
  public Foo(string state, ISomeDepedency dep){}
}

public interface IFooFactory
{
  IFoo Create(string state);
}

public class FooFactory : IFooFactory
{
  ISOmeDep _dep;
  public FooFactory(ISomeDependency dep){
    _dep = dep;
  }
  
  public IFoo Create(string state)
  {
    return new Foo(state, _dep);
  }
}

public void ContainerConfiguration(ContainerBuilder cb)
{
  cb.RegisterType<FooFactory>().As<IFooFactory>().InstancePerHttpRequest();
  cb.RegisterType<SomeDependency>().As<ISomeDependency>().InstancePerHttpRequest();
}