"I want to find a friend" if you want only one friend to find, or "I want to find friends" if you want more than one friend to find!

"I want to find a friend" if you want only one friend to find, or "I want to find friends" if you want more than one friend to find!

First notebook entry: Introducing myself

I want to find friends...

As mentioned by many people above, you don't need to add the "a". You must match the plural with plural and singular with singular . 

so .. I want to find a friend .. would be correct as well 

First notebook entry: Introducing myself

I want to find a friends...

First notebook entry: Introducing myself

I want to find friends...