# Definition talk:Prime Decomposition/Multiplicity

The definition of the $p$-adic valuation, while it means exactly the same thing, requires awareness of more specialised language and notation that you don't get until undergraduate level, and it obscures the meaning unless you are completely familiar with it -- and even then when you get the meaning it's "Oh yes of course, it's the number of times you can divide an integer by one of its prime factors."