In Exercises, verify Theorem 3 for the given sets.
Theorem
Every positive integer n >1 can be written uniquely as where p1 < p2 < • • • < ps are distinct primes that divide n and the k’s are positive integers giving the number of times each prime occurs as a factor of n.
Exercise
A = {1, 2, 3, 4, 5, 6}, B = {2, 4, 7, 8, 9}, C = {1, 2, 4, 7, 10, 12}
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