# 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

*Let's learn more.*

**"how and why is 461 a prime number?"****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.

## 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.

**Problem Statements: **

Is 461 a Prime Number? | Yes |

Is 461 a Composite Number? | No |

Is 461 a Perfect Cube? | No |

Is 461 an Odd Number? | Yes |

Multiples of 461 | 461, 922, 1383, 1844, 2305, 2766, 3227, 3688, 4149, 4610 |

Square Root of 461 | 21.470911 |

Cube Root of 461 | 7.725017 |

Is 461 an Even Number? | No |

Is 461 a Perfect Square? | No |

**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

**☛ Also Check: **

- Is 177 a Prime Number? - No
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- Is 2009 a Prime Number? - No
- Is 501 a Prime Number? - No
- Is 245 a Prime Number? - No
- Is 112 a Prime Number? - No
- Is 33 a Prime Number? - No

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