Is 461 a Prime Number?

Is 461 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 461 is a prime number or composite, we need to divide it with numbers from 1 to 461. To find out the answer to this question "is 461 is a prime number" and to gain a detailed understanding of "how and why is 461 a prime number?" Let's learn more.

• Is 461 a prime number? - Yes
• Is 461 a composite number? - No
• Prime Factors of 461 - 461
• Factors of 461 - 1, 461
• Is 461 a perfect square? - No

Is 461 a Prime Number?

Yes, 461 is a prime number. The number 461 is divisible only by 1 and the number itself. For a number to be classified as a prime number, it should have exactly two factors. Since 461 has exactly two factors, i.e. 1 and 461, it is a prime number.

How is 461 a Prime Number?

To understand whether 461 is composite or prime, it is important to find its factors.

Factors of 461: 1, 461

Therefore, we can say that 461 is a prime number since it has only 2 factors.

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Is 461 a Composite Number?

No, since 461 has only two factors, i.e. 1 and 461. In other words, 461 is not a composite number because 461 doesn’t have 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 - (41, 43) are twin prime numbers.
• 23 is the smallest prime number having consecutive digits.
• A palindrome prime is a prime number that when read in reverse order results in the same number. Examples - 787, 373, 353

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