# Is 523 a Prime Number?

Is 523 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 523 is a prime number or composite, we need to divide it with numbers from 1 to 523. To find out the answer to this question * "is 523 is a prime number"* and to gain a detailed understanding of

*Let's learn more.*

**"how and why is 523 a prime number?"****Is 523 a prime number? -**Yes**Is 523 a composite number? -**No**Is 523 a perfect square? -**No**Factors of 523 -**1, 523**Prime Factors of 523 -**523

## Is 523 a Prime Number?

Yes, 523 is a prime number. The number 523 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 523 has exactly two factors, i.e. 1 and 523, it is a prime number.

## How is 523 a Prime Number?

To understand whether 523 is composite or prime, it is important to find its factors.

**Factors of 523:** 1, 523

Therefore, we can say that 523 is a prime number since it has only 2 factors.

## Is 523 a Composite Number?

No, since 523 has only two factors, i.e. 1 and 523. In other words, 523 is not a composite number because 523 doesn’t have more than 2 factors.

**Problem Statements: **

Is 523 a Prime Number? | Yes |

Is 523 a Composite Number? | No |

Is 523 a Perfect Cube? | No |

Is 523 an Even Number? | No |

Multiples of 523 | 523, 1046, 1569, 2092, 2615, 3138, 3661, 4184, 4707, 5230 |

Square Root of 523 | 22.869193 |

Cube Root of 523 | 8.056869 |

Is 523 a Perfect Square? | No |

Is 523 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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