Also check the booking fees if you're using a third party seller. I won't name the site but they can be huge.
Being the tribal expert on matters Internet I booked flights for a relative at good rates, only to find that the final cost was so great as to mitigate the alleged 'saving'.
Being asked 'isn't that more than they said, dear?' didn't improve my temper, so we went with another provider.
Clowns to the left, jokers to the right...