Which of the following is a composite number?

Rationale

27 is a composite number.

A composite number is an integer greater than one that has divisors other than one and itself. Since 27 can be divided evenly by 1, 3, 9, and 27, it qualifies as a composite number, whereas the other options are prime numbers.

A (7) YOUR ANSWER

7 is a prime number because it has no divisors other than 1 and itself. It cannot be factored into smaller natural numbers, which is a defining characteristic of prime numbers.

B (17) YOUR ANSWER

17 is also a prime number. Like 7, it is only divisible by 1 and 17, meaning it does not have additional factors and therefore does not meet the criteria for a composite number.

C (27) CORRECT

As mentioned earlier, 27 is a composite number. It can be factored into 3 multiplied by 9 (3 x 9), and both 3 and 9 are factors of 27, signifying that it possesses divisors beyond just 1 and itself.

D (37) YOUR ANSWER

37 is a prime number as well. It has no positive divisors other than 1 and 37, confirming that it does not qualify as a composite number since it cannot be constructed from smaller factors.

Conclusion

In summary, a composite number has factors other than one and itself, and among the choices given, only 27 meets this definition. The other options, 7, 17, and 37, are all prime numbers with no additional divisors, thereby distinguishing them from composite numbers like 27. Understanding the difference between prime and composite numbers is fundamental in number theory and has implications in various mathematical applications.

Which of the following is a composite number?

27 is a composite number.

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