# Is 289 a Prime Number?

Is 289 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 289 is a prime number or composite, we need to divide it with numbers from 1 to 289. To find out the answer to this question * "is 289 is a prime number"* and to gain a detailed understanding of

*Let's learn more.*

**"how and why is 289 a prime number or a composite number?"****Is 289 a prime number? -**No**Is 289 a composite number? -**Yes**Prime Factors of 289 -**17**Factors of 289 -**1, 17, 289**Is 289 a perfect square? -**Yes

## Is 289 a Prime Number?

No, 289 is not a prime number. The number 289 is divisible by 1, 17, 289. For a number to be classified as a prime number, it should have exactly two factors. Since 289 has more than two factors, i.e. 1, 17, 289, it is not a prime number.

## Why is 289 not a Prime Number?

To understand whether 289 is prime or composite, it is important to find its factors.

**Factors of 289:** 1, 17, 289

Since 289 has more than 2 factors, we can say that 289 is not a prime number.

## Is 289 a Composite Number?

Yes, since 289 has more than two factors i.e. 1, 17, 289. In other words, 289 is a composite number because 289 has more than 2 factors.

**Problem Statements: **

Is 289 a Prime Number? | No |

Is 289 a Composite Number? | Yes |

Square Root of 289 | 17 |

Is 289 an Odd Number? | Yes |

Is 289 a Perfect Cube? | No |

Cube Root of 289 | 6.611477 |

Is 289 an Even Number? | No |

Square of 289 | 83521 |

Multiples of 289 | 289, 578, 867, 1156, 1445, 1734, 2023, 2312, 2601, 2890 |

Is 289 a Perfect Square? | Yes |

**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 - (311, 313) are twin prime numbers.
- 5 is the only prime number having the last digit as 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.

**☛ Also Check: **

- Is 73 a Prime Number? - Yes
- Is 289 a Prime Number? - No
- Is 123 a Prime Number? - No
- Is 37 a Prime Number? - Yes
- Is 109 a Prime Number? - Yes
- Is 104 a Prime Number? - No
- Is 551 a Prime Number? - No
- Is 697 a Prime Number? - No

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