Is 249 a Prime Number?

Is 249 a prime number? If a number has only two factors, i.e. 1 and the number itself, it is known as a prime number. In contrast, composite numbers have more than two factors. By this explanation, can we answer the question - is 249 a prime number? According to the definition mentioned above, we can say "No, 249 is not a prime number." Now let us take a look at the detailed solution of why is 249 a prime number or a composite number?

• Is 249 a prime number? - No
• Is 249 a composite number? - Yes
• Prime Factors of 249 - 3, 83
• Factors of 249 - 1, 3, 83, 249
• Is 249 a perfect square? - No

Is 249 a Prime Number?

No, 249 is not a prime number. The number 249 is divisible by 1, 3, 83, 249. For a number to be classified as a prime number, it should have exactly two factors. Since 249 has more than two factors, i.e. 1, 3, 83, 249, it is not a prime number.

Why is 249 not a Prime Number?

To understand whether 249 is composite or prime, it is important to find its factors.

Factors of 249: 1, 3, 83, 249

Since 249 has more than 2 factors, we can say that 249 is not a prime number.

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Is 249 a Composite Number?

Yes, since 249 has more than two factors i.e. 1, 3, 83, 249. In other words, 249 is a composite number because 249 has more than 2 factors.

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Fun Facts:

• 23 is the smallest prime number having consecutive digits.
• A semiprime number is a composite number that is the product of exactly two prime numbers. Example - 115 is semiprime, since 115 can be written as 5 × 23.
• Prime numbers greater than 5 can be represented in the form of either 6n + 1 or 6n - 1. Example - 71 is a prime number and it can be written as 71 = 6 × 12 - 1

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