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# Is 313 a Prime Number?

Is 313 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 313 a prime number? According to the definition mentioned above, we can say * "yes, 313 is a prime number."* Now let us take a look at the detailed solution of why is 313 a prime number?

**Is 313 a prime number? -**Yes**Is 313 a composite number? -**No**Factors of 313 -**1, 313**Is 313 a perfect square? -**No**Prime Factors of 313 -**313

## Is 313 a Prime Number?

Yes, 313 is a prime number. The number 313 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 313 has exactly two factors, i.e. 1 and 313, it is a prime number.

## How is 313 a Prime Number?

To understand whether 313 is composite or prime, it is important to find its factors.

**Factors of 313:** 1, 313

Therefore, we can say that 313 is a prime number since it has only 2 factors.

## Is 313 a Composite Number?

No, since 313 has only two factors, i.e. 1 and 313. In other words, 313 is not a composite number because 313 doesn’t have more than 2 factors.

**Problem Statements: **

Is 313 a Prime Number? | Yes |

Is 313 a Composite Number? | No |

Is 313 an Even Number? | No |

Cube Root of 313 | 6.789648 |

Is 313 a Perfect Cube? | No |

Square Root of 313 | 17.691806 |

Is 313 an Odd Number? | Yes |

Is 313 a Perfect Square? | No |

Multiples of 313 | 313, 626, 939, 1252, 1565, 1878, 2191, 2504, 2817, 3130 |

**Fun Facts: **

- A perfect cube is always a composite number.
- All prime numbers don't have the last digit as 5 except the number 5.
- 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.

**☛ Also Check: **

- Is 143 a Prime Number? - No
- Is 273 a Prime Number? - No
- Is 189 a Prime Number? - No
- Is 625 a Prime Number? - No
- Is 21 a Prime Number? - No
- Is 1001 a Prime Number? - No
- Is 64 a Prime Number? - No
- Is 130 a Prime Number? - No

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