p and q are positive integers such that pq has exactly 4 unique positive factors
pq will have 4 distinct positive factors in the following cases:
Case 1: pq = a³, where a is a prime number.
Case 2: pq = ab, where a and b are distinct prime numbers.
Examples of Case 1:
pq = 2³ = 8, with the result that pq has factors 1, 2, 4 and 8.
pq = 3³ = 27, with the result that pq has factors 1, 3, 9 and 27.
pq = 5³ = 125, with the result that pq has factors 1, 5, 25 and 125.
Examples of Case 2:
pq = 2*3 = 6, with the result that pq has factors 1, 2, 3 and 6.
pq = 3*5 = 15, with the result that pq has factors 1, 3, 5 and 15.
pq = 5*7 = 35, with the result that pq has factors 1, 5, 7 and 35.
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