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Which of these is a prime number?
  • a)
    8
  • b)
    9
  • c)
    11
  • d)
    12
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Which of these is a prime number?a)8b)9c)11d)12Correct answer is optio...
A prime number has only two factors: 1 and itself. 11 is a prime number because it can only be divided by 1 and 11.
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Which of these is a prime number?a)8b)9c)11d)12Correct answer is optio...
Understanding Prime Numbers
Prime numbers are natural numbers greater than 1 that have no positive divisors other than 1 and themselves. In simpler terms, a prime number can only be divided evenly by 1 and the number itself.
Identifying the Options
Let's analyze the given options:
  • 8: The factors of 8 are 1, 2, 4, and 8. Since it has divisors other than 1 and 8, it is not a prime number.
  • 9: The factors of 9 are 1, 3, and 9. It also has divisors other than itself and 1, so 9 is not a prime number.
  • 11: The factors of 11 are only 1 and 11. Since it has no other divisors, 11 is a prime number.
  • 12: The factors of 12 are 1, 2, 3, 4, 6, and 12. Due to multiple divisors, 12 is not a prime number.


Conclusion
From the analysis above, the only number that meets the criteria of a prime number is:
  • Option C: 11


Thus, the correct answer is option 'C' as it is the only prime number among the options listed. Understanding prime numbers helps in various areas of mathematics, including number theory and cryptography.
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