# Is 503 a Prime Number?

Is 503 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 503 a prime number? According to the definition mentioned above, we can say * "yes, 503 is a prime number."* Now let us take a look at the detailed solution of why is 503 a prime number?

**Is 503 a prime number? -**Yes**Is 503 a composite number? -**No**Prime Factors of 503 -**503**Factors of 503 -**1, 503**Is 503 a perfect square? -**No

## Is 503 a Prime Number?

Yes, 503 is a prime number. The number 503 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 503 has exactly two factors, i.e. 1 and 503, it is a prime number.

## How is 503 a Prime Number?

To understand whether 503 is composite or prime, it is important to find its factors.

**Factors of 503:** 1, 503

Therefore, we can say that 503 is a prime number since it has only 2 factors.

## Is 503 a Composite Number?

No, since 503 has only two factors, i.e. 1 and 503. In other words, 503 is not a composite number because 503 doesn’t have more than 2 factors.

**Problem Statements: **

Is 503 a Prime Number? | Yes |

Is 503 a Composite Number? | No |

Cube Root of 503 | 7.952831 |

Is 503 an Even Number? | No |

Multiples of 503 | 503, 1006, 1509, 2012, 2515, 3018, 3521, 4024, 4527, 5030 |

Is 503 a Perfect Cube? | No |

Is 503 an Odd Number? | Yes |

Is 503 a Perfect Square? | No |

Square Root of 503 | 22.427661 |

**Fun Facts: **

- Numbers X and Y are said to be coprime if they have only one common factor that is 1.
- 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
- 23 is the smallest prime number having consecutive digits.

**☛ Also Check: **

- Is 649 a Prime Number? - No
- Is 4913 a Prime Number? - No
- Is 2013 a Prime Number? - No
- Is 403 a Prime Number? - No
- Is 167 a Prime Number? - Yes
- Is 86 a Prime Number? - No
- Is 38 a Prime Number? - No
- Is 465 a Prime Number? - No

visual curriculum