Is 261 a Prime Number?

Is 261 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 261 is a prime number or composite, we need to divide it with numbers from 1 to 261. To find out the answer to this question "is 261 is a prime number" and to gain a detailed understanding of "how and why is 261 a prime number or a composite number?" Let's learn more.

• Is 261 a prime number? - No
• Is 261 a composite number? - Yes
• Factors of 261 - 1, 3, 9, 29, 87, 261
• Prime Factors of 261 - 3, 29
• Is 261 a perfect square? - No

Is 261 a Prime Number?

No, 261 is not a prime number. The number 261 is divisible by 1, 3, 9, 29, 87, 261. For a number to be classified as a prime number, it should have exactly two factors. Since 261 has more than two factors, i.e. 1, 3, 9, 29, 87, 261, it is not a prime number.

Why is 261 not a Prime Number?

To understand whether 261 is composite or prime, it is important to find its factors.

Factors of 261: 1, 3, 9, 29, 87, 261

Since 261 has more than 2 factors, we can say that 261 is not a prime number.

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Is 261 a Composite Number?

Yes, since 261 has more than two factors i.e. 1, 3, 9, 29, 87, 261. In other words, 261 is a composite number because 261 has more than 2 factors.

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Fun Facts:

• A perfect square (square number) is always a composite number.
• 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.
• 1 is neither prime nor composite.

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