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Problem Solving (PS) | How many integers between 1 and 16, inclusive, have exactly 3 differen

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Bunuel wrote:

carcass wrote:
How many integers between 1 and 16, inclusive, have exactly 3 different positive integer factors? (Note: 6 is NOT such an integer because 6 has 4 different positive integer factors: 1, 2, 3, and 6.)


A. 1

B. 2

C. 3

D. 4

E. 5


1. Positive integer to have odd number of factors must be a perfect square (the square of an integer).
2. Positive integer to have 3 factors must be of a form prime^2. For example, 2^2, 3^2, 5^2, ...

According to the above, we are looking for squares
...

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