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# Is 83 a Prime Number?

Is 83 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 83 is a prime number or composite, we need to divide it with numbers from 1 to 83. To find out the answer to this question * "is 83 is a prime number"* and to gain a detailed understanding of

*Let's learn more.*

**"how and why is 83 a prime number?"****Is 83 a prime number? -**Yes**Is 83 a composite number? -**No**Prime Factors of 83 -**83**Is 83 a perfect square? -**No**Factors of 83 -**1, 83

## Is 83 a Prime Number?

Yes, 83 is a prime number. The number 83 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 83 has exactly two factors, i.e. 1 and 83, it is a prime number.

## How is 83 a Prime Number?

To understand whether 83 is prime or composite, it is important to find its factors.

**Factors of 83:** 1, 83

Therefore, we can say that 83 is a prime number since it has only 2 factors.

## Is 83 a Composite Number?

No, since 83 has only two factors, i.e. 1 and 83. In other words, 83 is not a composite number because 83 doesn’t have more than 2 factors.

**Problem Statements: **

Is 83 a Prime Number? | Yes |

Is 83 a Composite Number? | No |

Square Root of 83 | 9.110434 |

Is 83 a Perfect Cube? | No |

Is 83 an Odd Number? | Yes |

Multiples of 83 | 83, 166, 249, 332, 415, 498, 581, 664, 747, 830 |

Cube Root of 83 | 4.362064 |

Is 83 a Perfect Square? | No |

Is 83 an Even Number? | No |

**Fun Facts: **

- 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. - 2 is the smallest prime number.
- A semiprime number is a composite number that is the product of exactly two prime numbers. Example - 485 is semiprime, since 485 can be written as 5 × 97.

**☛ Also Check: **

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- Is 23 a Prime Number? - Yes
- Is 1001 a Prime Number? - No
- Is 667 a Prime Number? - No
- Is 317 a Prime Number? - Yes
- Is 937 a Prime Number? - Yes

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