# Is 331 a Prime Number?

Is 331 a prime number? How do you know that 331 is prime or composite? Let us first understand what makes a number 'prime'. If a number has only 2 factors (1 and the number itself), then it is a prime number. If the number has more than 2 factors, then it is composite. Now, what do you think of 331? Is 331 a prime number? * "Yes, 331 is a prime number."* Since 331 has only 2 factors i.e. 1 and 331, it is a prime number. Let's study this in detail.

**Is 331 a prime number? -**Yes**Is 331 a composite number? -**No**Prime Factors of 331 -**331**Factors of 331 -**1, 331**Is 331 a perfect square? -**No

## Is 331 a Prime Number?

Yes, 331 is a prime number. The number 331 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 331 has exactly two factors, i.e. 1 and 331, it is a prime number.

## How is 331 a Prime Number?

To understand whether 331 is composite or prime, it is important to find its factors.

**Factors of 331:** 1, 331

Therefore, we can say that 331 is a prime number since it has only 2 factors.

## Is 331 a Composite Number?

No, since 331 has only two factors, i.e. 1 and 331. In other words, 331 is not a composite number because 331 doesn’t have more than 2 factors.

**Problem Statements: **

Is 331 a Prime Number? | Yes |

Is 331 a Composite Number? | No |

Square Root of 331 | 18.193405 |

Is 331 an Odd Number? | Yes |

Cube Root of 331 | 6.917383 |

Is 331 a Perfect Cube? | No |

Is 331 an Even Number? | No |

Is 331 a Perfect Square? | No |

Multiples of 331 | 331, 662, 993, 1324, 1655, 1986, 2317, 2648, 2979, 3310 |

**Fun Facts: **

- A perfect cube is always a composite number.
- 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. - 1 is neither prime nor composite.

**☛ Also Check: **

- Is 1009 a Prime Number? - Yes
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- Is 168 a Prime Number? - No
- Is 203 a Prime Number? - No
- Is 155 a Prime Number? - No
- Is 421 a Prime Number? - Yes
- Is 247 a Prime Number? - No
- Is 677 a Prime Number? - Yes

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