# Is 1001 a Prime Number?

Is 1001 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 1001 is a prime number or composite, we need to divide it with numbers from 1 to 1001. To find out the answer to this question * "is 1001 is a prime number"* and to gain a detailed understanding of

*Let's learn more.*

**"how and why is 1001 a prime number or a composite number?"****Is 1001 a prime number? -**No**Is 1001 a composite number? -**Yes**Factors of 1001 -**1, 7, 11, 13, 77, 91, 143, 1001**Prime Factors of 1001 -**7, 11, 13**Is 1001 a perfect square? -**No

## Is 1001 a Prime Number?

No, 1001 is not a prime number. The number 1001 is divisible by 1, 7, 11, 13, 77, 91, 143, 1001. For a number to be classified as a prime number, it should have exactly two factors. Since 1001 has more than two factors, i.e. 1, 7, 11, 13, 77, 91, 143, 1001, it is not a prime number.

## Why is 1001 not a Prime Number?

To understand whether 1001 is prime or composite, it is important to find its factors.

**Factors of 1001:** 1, 7, 11, 13, 77, 91, 143, 1001

Since 1001 has more than 2 factors, we can say that 1001 is not a prime number.

## Is 1001 a Composite Number?

Yes, since 1001 has more than two factors i.e. 1, 7, 11, 13, 77, 91, 143, 1001. In other words, 1001 is a composite number because 1001 has more than 2 factors.

**Problem Statements: **

Is 1001 a Prime Number? | No |

Is 1001 a Composite Number? | Yes |

Is 1001 an Even Number? | No |

Is 1001 a Perfect Square? | No |

Square Root of 1001 | 31.638584 |

Is 1001 an Odd Number? | Yes |

Multiples of 1001 | 1001, 2002, 3003, 4004, 5005, 6006, 7007, 8008, 9009, 10010 |

Square of 1001 | 1002001 |

Cube Root of 1001 | 10.003309 |

Is 1001 a Perfect Cube? | No |

**Fun Facts: **

- 23 is the smallest prime number having consecutive digits.
- Prime numbers greater than 5 can be represented in the form of either 6n + 1 or 6n - 1. Example - 71 is a prime number and it can be written as 71 = 6 × 12 - 1
- 5 is the only prime number having the last digit as 5.

**☛ Also Check: **

- Is 13 a Prime Number? - Yes
- Is 89 a Prime Number? - Yes
- Is 38 a Prime Number? - No
- Is 107 a Prime Number? - Yes
- Is 52 a Prime Number? - No
- Is 441 a Prime Number? - No
- Is 225 a Prime Number? - No
- Is 469 a Prime Number? - No

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