Ok, so first calculate the molecular weight. This part is easy. It's just:
molecular weight = 55.845 amu (you get this by looking at the atomic weight on the periodic table) which can also be written as 55.845 g/mol (this is called the molar mass)
Now, we use the formula:
amount of substance in grams
------------------------------------------ = amount of substance (in moles)
molecular weight
So: .015 g Fe
-------------------- = ~ 2.7 x 10^-4 mol (as you can see, the grams canceled out)
55.845 g/mol
Now, we use the definition: 1 mol = 6.022 x 10^23 atoms
1 mol .000268 mols
---------------------------- = -------------------------
6.022 x 10^23 atoms x atoms
Cross multiply, etc.: x = (.00268)*(6.022 x 10^23)/1 = 1.6 x 10^20
Of course, I've only been enrolled in a chemistry course for one week, so take all of this with a grain of salt!!!!