The elements in a periodic table can be memorised easily with a method called as mnemonics. This a way of associating the letters indicating their formula into words of a meaningful sentence. I am giving you an example of a mnemonic device used to memorise Neon to Argon (Ne, Na, Mg, Al, Si, P,S, Cl, Ar)
New Nations Might Also Sing Peaceful Song Clearly Arouse.
There are much of such mnemonic devices and songs are available to memorise any number of elements. But it will be better to create a unique own mnemonics device with the familar words and preferably without any restriction.