Which of the following does NOT have a divisor greater than 1 that is the square of an integer?
Choose the correct choice.
A) 28
B) 32
C) 49
D) 62
E) 25
Prime Factorization   28=2*2*7=2^2*7. Includes a perfect square of 4.   32=2*2*2*2*2=4^2*2. Includes the perfect square of 16.   49=7*7. Is a perfect square.   62=2*31. No perfect square here, so a possibility.   25= 5*5. Is a perfect square.   All but 62 have perfect squares as a factor so D is the correct answer.   28=2*2*7=2^2*7. Perfect square of 4.   32=2*2*2*2*2=4^2*2. Perfect square of 16.   49=7*7. Perfect square.   62=2*31. No perfect square.   25= 5*5. Perfect square.
<result>D</result>
Which of the following does NOT have a divisor greater than 1 that is the square of an integer?