2.3, due on September 2

One thing I am a little confused by is the way that this book proves that any integer > 1 can be expressed as a product of primes. I seem to recall the other book using a different proof which I thought made more sense. Perhaps that is because I don't typically use induction proofs, I think I should hurry and get over that. Another thing that confused me is when they did the prime decomposition and they have 67^0 and also how they used the prime factorization in order to find the GCD and LCM. I didn't know that if an integer is not a perfect power then its root is irrational, so that's kind of neat.