Question:
How many numbers between 90 and 600 have exactly three factors?
How many numbers between 90 and 600 have exactly three factors?
Updated On: Sep 13, 2024
- 170
- 48
- 5
- None of these
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The Correct Option is C
Solution and Explanation
The correct option is (C): 5.
Only those numbers which are squares of prime numbers have exactly three factors.
Now, 92 < 90 < 102 and 242 < 600 < 252
Thus, five prime numbers (from 10 to 24) whose squares lie in the range described above are 11, 13, 17, 19 and 23.
Only those numbers which are squares of prime numbers have exactly three factors.
Now, 92 < 90 < 102 and 242 < 600 < 252
Thus, five prime numbers (from 10 to 24) whose squares lie in the range described above are 11, 13, 17, 19 and 23.
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