can you solve this question?(Avagadro and mole)?

Question

A SAMPLE A CYANIC ACID, HCN CONTAINS 3.33*10^23
ATOMS. HOW MANY MOLES OF CYANIC ACID ARE IN THE SAMPLE? HINT: FIND THE NUMBER OF MOLECULES FIRST

Answer 1

HCN has three atoms, so divide the atom number by 3 to get number of molecules

Use Avogadro's of molecules =1 mole as the conversion factor to solve for number of moles.

Answer 2

HCN = 0.553 moles

# of moles = (# of molecules) / (avogadro's number = 6.022 x 10^23)
HCN = [(3.33 x 10^23 atoms) x (1 molecules / 3 atoms)] / (6.022 x 10^23 moles/molecule)
HCN = 0.184 moles