If you ever are in doubt, or just not sure where to begin with a problem like this, CONVERT TO MOLES. That's my biggest piece of advice for these types of conversion problems, especially when dealing with moles, atoms, molecules, grams, etc.
Start with what is given. You know that there are 1.33*10^24 TOTAL atoms of N. (Note that this is just N, not N2, which is what you need to find an answer "in terms of." There are two Nitrogen atoms that bond together to make N2. You should find out how many molecules you have of N2 by dividing 1.33*10^24 by two.
1.33*10^24 atoms N = 6.65*10^23 molecules N2
Now, recall that Avogadro's number (is just a number and) is equal to 6.022*10^23 molecules, atoms, etc. So we know that:
6.002*10^23 molecules = 1 mole of N2
Use this and what we found for the number of atoms above to create conversion factors with units that will cancel out to give us our answer in moles of N2.
(6.65*10^23 molecules N2)/1 * (1 moles N2)/(6.0223*10^23 molecules N2) = ?
"molecules N2" will cancel each other out, and we are left with moles N2, which is the units we want for our answer.
When you crunch the numbers you should get 1.10 moles N2 assuming my calculations are correct.
***Note: Make sure to take significant figures into account for problems like this if you are required to do so.***
I hope this helps. Let me know if you have further questions.