Let a = n p\"? and b = H pg?\" he the prime factorizatiol'le of a. and b. (Comment: The above products are taken over all primes p with the understanding; that (IF. = U and [33, = U for all, but nitely many p.) Prove that if a|b, then up E tip for all p. Hint: White or: = b for some c = H1?\" and use the Fundamental Theorem of Arithmetic (Le. unique factorization) to Show that orp + 1*? = p for each p