# Is 193 a Prime Number?

Is 193 a Prime Number? * "Yes, 193 is 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 193 with only 2 factors, i.e. 1 and 193 are called prime numbers. However, numbers like 302 with more than 2 factors are called composite numbers. Let us find out how and why is 193 a prime number?

**Is 193 a prime number? -**Yes**Is 193 a composite number? -**No**Is 193 a perfect square? -**No**Prime Factors of 193 -**193**Factors of 193 -**1, 193

## Is 193 a Prime Number?

Yes, 193 is a prime number. The number 193 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 193 has exactly two factors, i.e. 1 and 193, it is a prime number.

## How is 193 a Prime Number?

To understand whether 193 is composite or prime, it is important to find its factors.

**Factors of 193:** 1, 193

Therefore, we can say that 193 is a prime number since it has only 2 factors.

## Is 193 a Composite Number?

No, since 193 has only two factors, i.e. 1 and 193. In other words, 193 is not a composite number because 193 doesn’t have more than 2 factors.

**Problem Statements: **

Is 193 a Prime Number? | Yes |

Is 193 a Composite Number? | No |

Is 193 a Perfect Square? | No |

Cube Root of 193 | 5.778986 |

Multiples of 193 | 193, 386, 579, 772, 965, 1158, 1351, 1544, 1737, 1930 |

Is 193 a Perfect Cube? | No |

Is 193 an Even Number? | No |

Is 193 an Odd Number? | Yes |

Square Root of 193 | 13.892444 |

**Fun Facts: **

- Numbers X and Y are said to be coprime if they have only one common factor that is 1.
- 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. - A pair of prime numbers X and Y are said to be twin prime numbers if the absolute difference between them is 2. Example - (41, 43) are twin prime numbers.

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