# Is 811 a Prime Number?

Is 811 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 811 a prime number? According to the definition mentioned above, we can say * "yes, 811 is a prime number."* Now let us take a look at the detailed solution of why is 811 a prime number?

**Is 811 a prime number? -**Yes**Is 811 a composite number? -**No**Is 811 a perfect square? -**No**Prime Factors of 811 -**811**Factors of 811 -**1, 811

## Is 811 a Prime Number?

Yes, 811 is a prime number. The number 811 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 811 has exactly two factors, i.e. 1 and 811, it is a prime number.

## How is 811 a Prime Number?

To understand whether 811 is prime or composite, it is important to find its factors.

**Factors of 811:** 1, 811

Therefore, we can say that 811 is a prime number since it has only 2 factors.

## Is 811 a Composite Number?

No, since 811 has only two factors, i.e. 1 and 811. In other words, 811 is not a composite number because 811 doesn’t have more than 2 factors.

**Problem Statements: **

Is 811 a Prime Number? | Yes |

Is 811 a Composite Number? | No |

Is 811 a Perfect Square? | No |

Is 811 an Odd Number? | Yes |

Is 811 a Perfect Cube? | No |

Multiples of 811 | 811, 1622, 2433, 3244, 4055, 4866, 5677, 6488, 7299, 8110 |

Cube Root of 811 | 9.325511 |

Is 811 an Even Number? | No |

Square Root of 811 | 28.478062 |

**Fun Facts: **

- All primes except 2 are odd.
- Euler discovered a polynomial n
^{2}+ 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. - 2 is the smallest prime number.

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