Is 289 a Prime Number?

Is 289 a prime number? A prime number is divisible only by 1 and itself, which means it has no other divisor except 1 and the number itself. On the contrary, composite numbers have more than two factors. To determine if 289 is a prime number or composite, we need to divide it with numbers from 1 to 289. To find out the answer to this question "is 289 is a prime number" and to gain a detailed understanding of "how and why is 289 a prime number or a composite number?" Let's learn more.

• Is 289 a prime number? - No
• Is 289 a composite number? - Yes
• Prime Factors of 289 - 17
• Factors of 289 - 1, 17, 289
• Is 289 a perfect square? - Yes

Is 289 a Prime Number?

No, 289 is not a prime number. The number 289 is divisible by 1, 17, 289. For a number to be classified as a prime number, it should have exactly two factors. Since 289 has more than two factors, i.e. 1, 17, 289, it is not a prime number.

Why is 289 not a Prime Number?

To understand whether 289 is prime or composite, it is important to find its factors.

Factors of 289: 1, 17, 289

Since 289 has more than 2 factors, we can say that 289 is not a prime number.

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Is 289 a Composite Number?

Yes, since 289 has more than two factors i.e. 1, 17, 289. In other words, 289 is a composite number because 289 has more than 2 factors.

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Fun Facts:

• A pair of prime numbers X and Y are said to be twin prime numbers if the absolute difference between them is 2. Example - (311, 313) are twin prime numbers.
• 5 is the only prime number having the last digit as 5.
• Euler discovered a polynomial n² + n + 41 that produces prime numbers for values of n that lie between 0 and 39 inclusive. It can generate 40 prime numbers for 0 <= n <= 39.

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