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Which of the following numbers is a prime number?
  • a)
    12
  • b)
    7
  • c)
    18
  • d)
    15
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Which of the following numbers is a prime number?a) 12b) 7c) 18d) 15Co...
A prime number is defined as a number greater than 1 that has no positive divisors other than 1 and itself. The number 7 only has two factors: 1 and 7, making it a prime number.
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Which of the following numbers is a prime number?a) 12b) 7c) 18d) 15Co...
Understanding Prime Numbers
A prime number is defined as a natural number greater than 1 that has no positive divisors other than 1 and itself. This means that a prime number can only be divided evenly (without leaving a remainder) by 1 and the number itself.
Analyzing the Options
Let's evaluate the options provided:
  • 12: This number can be divided by 1, 2, 3, 4, 6, and 12. Since it has more divisors than just 1 and itself, it is not a prime number.
  • 7: The only divisors of 7 are 1 and 7. Since it has no other divisors, 7 is a prime number.
  • 18: This number can be divided by 1, 2, 3, 6, 9, and 18. It has multiple divisors, so it is not a prime number.
  • 15: The divisors of 15 include 1, 3, 5, and 15. Because it has more than two divisors, it is not a prime number.

Conclusion
Among the options given, only 7 meets the criteria of a prime number as it can only be divided evenly by 1 and itself. Therefore, the correct answer is option B. Understanding prime numbers is essential in mathematics, as they play a significant role in number theory and various applications.
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