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16 Sep 2014, 00:24
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Which of the following numbers does not have a factor that is the square of an integer greater than 1?
A. 75
B. 42
C. 32
D. 25
E. 12
A. 75
B. 42
C. 32
D. 25
E. 12
16 Sep 2014, 00:24
Kudos
Bookmarks
Official Solution:
Which of the following numbers does not have a factor that is the square of an integer greater than 1?
A. 75
B. 42
C. 32
D. 25
E. 12
To determine if a number has a factor that is the square of an integer greater than 1, we can look at its prime factorization.
A. \(75=3*5^2\) has a factor of \(5^2\), which is the square of the integer 5.
B. \(42=2*3*7\) does not have a factor that is the square of an integer greater than 1.
C. \(32=2^5\) has factors of \(2^2\) and \(4^2\), which are the square of the integer 2 and 4.
D. \(25=5^2\) has a factor of \(5^2\), which is the square of the integer 5.
E. \(12=3*2^2\) has a factor of \(2^2\), which is the square of the integer 2.
Answer: B
Which of the following numbers does not have a factor that is the square of an integer greater than 1?
A. 75
B. 42
C. 32
D. 25
E. 12
To determine if a number has a factor that is the square of an integer greater than 1, we can look at its prime factorization.
A. \(75=3*5^2\) has a factor of \(5^2\), which is the square of the integer 5.
B. \(42=2*3*7\) does not have a factor that is the square of an integer greater than 1.
C. \(32=2^5\) has factors of \(2^2\) and \(4^2\), which are the square of the integer 2 and 4.
D. \(25=5^2\) has a factor of \(5^2\), which is the square of the integer 5.
E. \(12=3*2^2\) has a factor of \(2^2\), which is the square of the integer 2.
Answer: B
