# Is 17 a Prime Number?

Is 17 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 17 a prime number? According to the definition mentioned above, we can say * "yes, 17 is a prime number."* Now let us take a look at the detailed solution of why is 17 a prime number?

**Is 17 a prime number? -**Yes**Is 17 a composite number? -**No**Factors of 17 -**1, 17**Prime Factors of 17 -**17**Is 17 a perfect square? -**No

## Is 17 a Prime Number?

Yes, 17 is a prime number. The number 17 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 17 has exactly two factors, i.e. 1 and 17, it is a prime number.

## How is 17 a Prime Number?

To understand whether 17 is composite or prime, it is important to find its factors.

**Factors of 17:** 1, 17

Therefore, we can say that 17 is a prime number since it has only 2 factors.

## Is 17 a Composite Number?

No, since 17 has only two factors, i.e. 1 and 17. In other words, 17 is not a composite number because 17 doesn’t have more than 2 factors.

**Problem Statements: **

Is 17 a Prime Number? | Yes |

Is 17 a Composite Number? | No |

Is 17 an Odd Number? | Yes |

Cube Root of 17 | 2.571279 |

Multiples of 17 | 17, 34, 51, 68, 85, 102, 119, 136, 153, 170 |

Square Root of 17 | 4.123106 |

Is 17 a Perfect Cube? | No |

Is 17 a Perfect Square? | No |

Is 17 an Even Number? | No |

**Fun Facts: **

- 23 is the smallest prime number having consecutive digits.
- 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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