# Is 2011 a Prime Number?

Is 2011 a Prime Number? * "Yes, 2011 is a prime number."* A number can be classified as prime or composite depending on the factors it contains; it could either have only 2 factors or more than 2 factors. Numbers like 1097 with only 2 factors, i.e. 1 and 1097 are called prime numbers. However, numbers like 528 with more than 2 factors are called composite numbers. Let us find out how and why is 2011 a prime number?

**Is 2011 a prime number? -**Yes**Is 2011 a composite number? -**No**Is 2011 a perfect square? -**No**Prime Factors of 2011 -**2011**Factors of 2011 -**1, 2011

## Is 2011 a Prime Number?

Yes, 2011 is a prime number. The number 2011 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 2011 has exactly two factors, i.e. 1 and 2011, it is a prime number.

## How is 2011 a Prime Number?

To understand whether 2011 is composite or prime, it is important to find its factors.

**Factors of 2011:** 1, 2011

Therefore, we can say that 2011 is a prime number since it has only 2 factors.

## Is 2011 a Composite Number?

No, since 2011 has only two factors, i.e. 1 and 2011. In other words, 2011 is not a composite number because 2011 doesn’t have more than 2 factors.

**Problem Statements: **

Is 2011 a Prime Number? | Yes |

Is 2011 a Composite Number? | No |

Cube Root of 2011 | 12.622235 |

Is 2011 an Even Number? | No |

Square Root of 2011 | 44.844175 |

Multiples of 2011 | 2011, 4022, 6033, 8044, 10055, 12066, 14077, 16088, 18099, 20110 |

Is 2011 a Perfect Cube? | No |

Is 2011 a Perfect Square? | No |

Is 2011 an Odd Number? | Yes |

**Fun Facts: **

- All prime numbers don't have the last digit as 5 except the number 5.
- 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. - 23 is the smallest prime number having consecutive digits.

**☛ Also Check: **

- Is 177 a Prime Number? - No
- Is 15 a Prime Number? - No
- Is 108 a Prime Number? - No
- Is 2001 a Prime Number? - No
- Is 751 a Prime Number? - Yes
- Is 817 a Prime Number? - No
- Is 391 a Prime Number? - No
- Is 1021 a Prime Number? - Yes

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