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Which of these numbers is composite?
  • a)
    5
  • b)
    7
  • c)
    11
  • d)
    12
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Which of these numbers is composite?a)5b)7c)11d)12Correct answer is op...
A composite number has more than two factors. 12 is composite because it has factors 1, 2, 3, 4, 6, and 12.
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Which of these numbers is composite?a)5b)7c)11d)12Correct answer is op...
Understanding Composite Numbers
Composite numbers are defined as numbers that have more than two distinct positive divisors. In other words, they can be divided evenly by numbers other than 1 and themselves.
Identifying Composite Numbers from the Options
Let’s analyze the given options:
  • 5: This number has only two divisors, which are 1 and 5. Therefore, it is a prime number.
  • 7: Similar to 5, 7 also has only two divisors: 1 and 7. Thus, it is a prime number.
  • 11: This number, too, has just two divisors: 1 and 11. Hence, it is a prime number.
  • 12: This number has several divisors: 1, 2, 3, 4, 6, and 12. Since it can be divided evenly by numbers other than 1 and itself, it is classified as a composite number.

Conclusion
Among the options provided, 12 stands out as the only composite number. The other numbers (5, 7, and 11) are all prime, with only two divisors each. Knowing how to categorize numbers as composite or prime is essential in mathematics, especially at this level of study.
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