Atoms cannot be divided using chemicals. They do consist of parts, which include protons, neutrons, and electrons, but an atom is a basic chemical building block of matter.

Not always. The reason being,  increasing atomic number doesn't always equate to increasing mass is because many atoms don't have a number of neutrons equal to the number of protons. In other words, several isotopes of an element may exist. If a sizeable portion of an element of lower atomic number exists in the form of heavy isotopes, then the mass of that element may (overall) be heavier than that of the next element. If there were no isotopes and all elements had a number of neutrons equal to the number of protons, then atomic mass would be approximately twice the atomic number (approximately because protons and neutrons don't have exactly the same mass... the mass of electrons is so small that it is negligible). Different periodic tables give differing atomic masses because the percentages of isotopes of an element may be considered changed from one publication to another.

With the advances in the feild of 'Nanotechnology' one to see the future go from big to small, to more efficient products.

Products could be much lighter, stronger, and more precise.

Lighter materials will make air and space travel more economical.

 Computers of the future will use atoms instead of chips for memory. 

 weapons as small as a single bullet could pack more computer power than the largest supercomputer in existence today

Solar energy can replace other resources.

Medicine can heal at the molecular or cellular level