An atom of gold has a mass of 3.271 x 10-22g. how many atoms of gold are in 5.00g of gold?

To get the number of gold atoms, you have to divide the mass of the gold by the mass of the gold atom. It follows this simple equation  . 

Let x be the number of gold atoms. Plug in the values to a calculator.

x = 
Both have the same units so the unit gram(g) can be cancelled. 
x then would be equal to 1.53x10^22. So there are 1.53x10^22 atoms of gold in 5 g of gold

I’m pretty sure it’s false i’m not sure