You definitely want to split your car
column into several columns (one for each piece of information). Then the query will become straightforward, for example:
SELECT * FROM _table WHERE name = 'Honda' AND product_number = 4222 ...
... but given your constaint, you could do something like this:
SELECT * FROM _table
WHERE
car LIKE '<name>Honda XxX' AND
car LIKE '<productnumber>4222' ...
If you use prepared statements, you might want to use this template query instead:
...
WHERE
car LIKE CONCAT ('<name>', ?) AND
car LIKE CONCAT('<productnumber>', ?)...
But allow me to insist: if your application is meant to go in production, and if you are planning to serve more than a handful of users, or if there are more than a handful of records in this table, tell whoever is in charge that this structure is very, very poor. No index can be used, and it will become unusable very soon.