A prefix is a letter or word that is added to the beginning of a word to alter its meaning. Since convenient is a word on it's own it has no prefix. If you add "in" to the beginning to make inconvenient, the prefix would be "in".
inconvenient
Inconvenient
correct
Inconvenient
The prefix of the word "convenient" is "con-".
un-
Con-
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convenient
"Convenient" is an adjective.
more convenient
it was just convenient for her to do that
"Convenient" is an adjective.
This is a very convenient home.
It is very convenient to pay by credit card. You'll find these meals quick and convenient to prepare. Fruit is a convenient source of vitamins and energy. A bicycle is often more convenient than a car in towns. I'll call back at a more convenient time.
A prefix is not a prefix when it is placed at the end of a word rather than the beginning. In this case, it is referred to as a suffix.