# Is 11 a Prime Number?

Is 11 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 11 is a prime number or composite, we need to divide it with numbers from 1 to 11. To find out the answer to this question * "is 11 is a prime number"* and to gain a detailed understanding of

*Let's learn more.*

**"how and why is 11 a prime number?"****Is 11 a prime number? -**Yes**Is 11 a composite number? -**No**Is 11 a perfect square? -**No**Factors of 11 -**1, 11**Prime Factors of 11 -**11

## Is 11 a Prime Number?

Yes, 11 is a prime number. The number 11 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 11 has exactly two factors, i.e. 1 and 11, it is a prime number.

## How is 11 a Prime Number?

To understand whether 11 is composite or prime, it is important to find its factors.

**Factors of 11:** 1, 11

Therefore, we can say that 11 is a prime number since it has only 2 factors.

## Is 11 a Composite Number?

No, since 11 has only two factors, i.e. 1 and 11. In other words, 11 is not a composite number because 11 doesn’t have more than 2 factors.

**Problem Statements: **

Is 11 a Prime Number? | Yes |

Is 11 a Composite Number? | No |

Multiples of 11 | 11, 22, 33, 44, 55, 66, 77, 88, 99, 110 |

Is 11 an Odd Number? | Yes |

Is 11 an Even Number? | No |

Is 11 a Perfect Square? | No |

Is 11 a Perfect Cube? | No |

Cube Root of 11 | 2.223978 |

Square Root of 11 | 3.316625 |

**Fun Facts: **

- Prime numbers greater than 5 can be represented in the form of either 6n + 1 or 6n - 1. Example - 89 is a prime number and it can be written as 89 = 6 × 15 - 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. - 2 is the smallest prime number.

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