I'm trying to find a way to return the value of an array's parent key.

For example, from the array below I'd like to find out the parent's key where $array['id'] == "0002". The parent key is obvious because it's defined here (it would be 'products'), but normally it'd be dynamic, hence the problem. The 'id' and value of 'id' is known though.

    [0] => Array
        (
            [data] => 
            [id] => 0000
            [name] => Swirl
            [categories] => Array
                (
                    [0] => Array
                        (
                            [id] => 0001
                            [name] => Whirl
                            [products] => Array 
                               (
                                    [0] => Array
                                        (
                                            [id] => 0002
                                            [filename] => 1.jpg
                                         )
                                    [1] => Array
                                        (
                                            [id] => 0003
                                            [filename] => 2.jpg
                                         )
                                )
                         )
                 )
          )