# Is 2311 a Prime Number?

Is 2311 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 2311 a prime number? According to the definition mentioned above, we can say * "yes, 2311 is a prime number."* Now let us take a look at the detailed solution of why is 2311 a prime number?

**Is 2311 a prime number? -**Yes**Is 2311 a composite number? -**No**Prime Factors of 2311 -**2311**Factors of 2311 -**1, 2311**Is 2311 a perfect square? -**No

## Is 2311 a Prime Number?

Yes, 2311 is a prime number. The number 2311 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 2311 has exactly two factors, i.e. 1 and 2311, it is a prime number.

## How is 2311 a Prime Number?

To understand whether 2311 is prime or composite, it is important to find its factors.

**Factors of 2311:** 1, 2311

Therefore, we can say that 2311 is a prime number since it has only 2 factors.

## Is 2311 a Composite Number?

No, since 2311 has only two factors, i.e. 1 and 2311. In other words, 2311 is not a composite number because 2311 doesn’t have more than 2 factors.

**Problem Statements: **

Is 2311 a Prime Number? | Yes |

Is 2311 a Composite Number? | No |

Is 2311 an Even Number? | No |

Cube Root of 2311 | 13.221037 |

Square Root of 2311 | 48.072861 |

Is 2311 a Perfect Square? | No |

Is 2311 a Perfect Cube? | No |

Is 2311 an Odd Number? | Yes |

Multiples of 2311 | 2311, 4622, 6933, 9244, 11555, 13866, 16177, 18488, 20799, 23110 |

**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.
- Numbers X and Y are said to be coprime if they have only one common factor that is 1.
- 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.

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