There's a lesson I learned last spring break, and paper cuts received during my new job has reminded me of it.
Last spring I was testing gravity (it worked!) and got my hand scraped up. I was five hours from home visiting my friend The Belly Dancer at the time so I asked to use her Neosporin, and was pretty shocked to find out that all she had around the house was soap, water, and band aids.
I was used to washing a cut initially, using a band aid maybe, putting some Neosporin on it, and the cut still getting mildly infected at times. In truth, I've done it a few times since then.
But with that particular scrape I made a point of keeping it clean and having a band aid over it during the day, though I don't think I bothered with a band aid at night. And guess what? It healed up nicely, with no infection. I was quite surprised.
Moral of the story: Keeping a scrape clean and covered is more important than using fancy things like Neosporin. Although the Neosporin can also help, I think. :)