# Is 509 a Prime Number?

Is 509 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 509 is a prime number or composite, we need to divide it with numbers from 1 to 509. To find out the answer to this question * "is 509 is a prime number"* and to gain a detailed understanding of

*Let's learn more.*

**"how and why is 509 a prime number?"****Is 509 a prime number? -**Yes**Is 509 a composite number? -**No**Is 509 a perfect square? -**No**Factors of 509 -**1, 509**Prime Factors of 509 -**509

## Is 509 a Prime Number?

Yes, 509 is a prime number. The number 509 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 509 has exactly two factors, i.e. 1 and 509, it is a prime number.

## How is 509 a Prime Number?

To understand whether 509 is prime or composite, it is important to find its factors.

**Factors of 509:** 1, 509

Therefore, we can say that 509 is a prime number since it has only 2 factors.

## Is 509 a Composite Number?

No, since 509 has only two factors, i.e. 1 and 509. In other words, 509 is not a composite number because 509 doesn’t have more than 2 factors.

**Problem Statements: **

Is 509 a Prime Number? | Yes |

Is 509 a Composite Number? | No |

Square Root of 509 | 22.561028 |

Cube Root of 509 | 7.984328 |

Multiples of 509 | 509, 1018, 1527, 2036, 2545, 3054, 3563, 4072, 4581, 5090 |

Is 509 a Perfect Square? | No |

Is 509 a Perfect Cube? | No |

Is 509 an Even Number? | No |

Is 509 an Odd Number? | 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 - (41, 43) are twin prime numbers.
- A palindrome prime is a prime number that when read in reverse order results in the same number. Examples - 787, 373, 353
- 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

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