Is 27 a Prime Number? Let’s dive into the quick facts to clarify this question.
1. Definition of a Prime Number
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. Examples include 2, 3, 5, and 7.
2. Factors of 27
The number 27 can be divided evenly by 1, 3, 9, and 27. Since it has more than two factors, it does not meet the criteria for a prime number.
3. Classification of 27
Instead of being prime, 27 is a composite number—a natural number greater than 1 that is not prime and has divisors other than 1 and itself.
4. Prime Factorization of 27
The prime factorization of 27 is (3 \times 3 \times 3), or (3^3). This confirms that 27 is not prime, as it is a product of smaller prime numbers.
5. Nearest Prime Numbers to 27
The prime numbers closest to 27 are 23 and 29. This highlights that 27 falls between two primes but is not one itself.
Why is 27 not a prime number?
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27 is not a prime number because it has divisors other than 1 and itself (specifically, 3 and 9).
What type of number is 27?
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27 is a composite number, as it can be expressed as a product of smaller natural numbers (e.g., (3 \times 9)).
Is 27 a perfect square?
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No, 27 is not a perfect square. The closest perfect squares are 25 ((5^2)) and 36 ((6^2)).
What is the prime factorization of 27?
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The prime factorization of 27 is (3^3) or (3 \times 3 \times 3).
