# Is 31 a Prime Number?

Is 31 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 31 is a prime number or composite, we need to divide it with numbers from 1 to 31. To find out the answer to this question * "is 31 is a prime number"* and to gain a detailed understanding of

*Let's learn more.*

**"how and why is 31 a prime number?"****Is 31 a prime number? -**Yes**Is 31 a composite number? -**No**Factors of 31 -**1, 31**Is 31 a perfect square? -**No**Prime Factors of 31 -**31

## Is 31 a Prime Number?

Yes, 31 is a prime number. The number 31 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 31 has exactly two factors, i.e. 1 and 31, it is a prime number.

## How is 31 a Prime Number?

To understand whether 31 is prime or composite, it is important to find its factors.

**Factors of 31:** 1, 31

Therefore, we can say that 31 is a prime number since it has only 2 factors.

## Is 31 a Composite Number?

No, since 31 has only two factors, i.e. 1 and 31. In other words, 31 is not a composite number because 31 doesn’t have more than 2 factors.

**Problem Statements: **

Is 31 a Prime Number? | Yes |

Is 31 a Composite Number? | No |

Is 31 an Odd Number? | Yes |

Is 31 a Perfect Square? | No |

Multiples of 31 | 31, 62, 93, 124, 155, 186, 217, 248, 279, 310 |

Cube Root of 31 | 3.141377 |

Square Root of 31 | 5.567764 |

Is 31 an Even Number? | No |

Is 31 a Perfect Cube? | No |

**Fun Facts: **

- A palindrome prime is a prime number that when read in reverse order results in the same number. Examples - 787, 373, 353
- A semiprime number is a composite number that is the product of exactly two prime numbers. Example - 697 is semiprime, since 697 can be written as 17 × 41.
- A perfect cube is always a composite number.

**☛ Also Check: **

- Is 521 a Prime Number? - Yes
- Is 24 a Prime Number? - No
- Is 467 a Prime Number? - Yes
- Is 300 a Prime Number? - No
- Is 221 a Prime Number? - No
- Is 211 a Prime Number? - Yes
- Is 315 a Prime Number? - No
- Is 373 a Prime Number? - Yes

visual curriculum