Is there a way to easily memorize all of the metric prefixes?

Answer 1

For the basic prefices you could try the mnemonic:

King Henry Died By Drinking Chocolate Milk

for Kilo, Hecto, Deka, Base, Deci, Centi, Milli.

Base stands for metre, gram, litre etc, the basic unit.

There are other variations.

This only goes from 103 to 10-3 in multiples of 1/10. There are others that go from Yotta (1024) to the Base in steps of 10-3, and from the base to Yocto (10-24) but these are rather more difficult to remember, partly because of the letters involved and partly because the same letters occur in both sequences - much in the same way that deka and deci do above.