# Is 303 a Prime Number?

Is 303 a prime number? * "No, 303 is not a prime number."* A number can be classified as prime or composite depending on the factors it contains; it could either have only 2 factors or more than 2 factors. Numbers like 547 with only 2 factors, i.e. 1 and 547 are called prime numbers. However, numbers like 405 with more than 2 factors are called composite numbers. Let us find out how and why is 303 a prime number or a composite number?

**Is 303 a prime number? -**No**Is 303 a composite number? -**Yes**Factors of 303 -**1, 3, 101, 303**Prime Factors of 303 -**3, 101**Is 303 a perfect square? -**No

## Is 303 a Prime Number?

No, 303 is not a prime number. The number 303 is divisible by 1, 3, 101, 303. For a number to be classified as a prime number, it should have exactly two factors. Since 303 has more than two factors, i.e. 1, 3, 101, 303, it is not a prime number.

## Why is 303 not a Prime Number?

To understand whether 303 is composite or prime, it is important to find its factors.

**Factors of 303:** 1, 3, 101, 303

Since 303 has more than 2 factors, we can say that 303 is not a prime number.

## Is 303 a Composite Number?

Yes, since 303 has more than two factors i.e. 1, 3, 101, 303. In other words, 303 is a composite number because 303 has more than 2 factors.

**Problem Statements: **

Is 303 a Prime Number? | No |

Is 303 a Composite Number? | Yes |

Is 303 a Perfect Cube? | No |

Square Root of 303 | 17.406895 |

Square of 303 | 91809 |

Is 303 an Odd Number? | Yes |

Is 303 an Even Number? | No |

Cube Root of 303 | 6.716557 |

Multiples of 303 | 303, 606, 909, 1212, 1515, 1818, 2121, 2424, 2727, 3030 |

Is 303 a Perfect Square? | 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.
- Prime numbers greater than 5 can be represented in the form of either 6n + 1 or 6n - 1. Example - 71 is a prime number and it can be written as 71 = 6 × 12 - 1

**☛ Also Check: **

- Is 53 a Prime Number? - Yes
- Is 71 a Prime Number? - Yes
- Is 18 a Prime Number? - No
- Is 16 a Prime Number? - No
- Is 6 a Prime Number? - No
- Is 213 a Prime Number? - No
- Is 237 a Prime Number? - No
- Is 607 a Prime Number? - Yes

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