# Is 73 a Prime Number?

Is 73 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 73 is a prime number or composite, we need to divide it with numbers from 1 to 73. To find out the answer to this question * "is 73 is a prime number"* and to gain a detailed understanding of

*Let's learn more.*

**"how and why is 73 a prime number?"****Is 73 a prime number? -**Yes**Is 73 a composite number? -**No**Factors of 73 -**1, 73**Prime Factors of 73 -**73**Is 73 a perfect square? -**No

## Is 73 a Prime Number?

Yes, 73 is a prime number. The number 73 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 73 has exactly two factors, i.e. 1 and 73, it is a prime number.

## How is 73 a Prime Number?

To understand whether 73 is prime or composite, it is important to find its factors.

**Factors of 73:** 1, 73

Therefore, we can say that 73 is a prime number since it has only 2 factors.

## Is 73 a Composite Number?

No, since 73 has only two factors, i.e. 1 and 73. In other words, 73 is not a composite number because 73 doesn’t have more than 2 factors.

**Problem Statements: **

Is 73 a Prime Number? | Yes |

Is 73 a Composite Number? | No |

Multiples of 73 | 73, 146, 219, 292, 365, 438, 511, 584, 657, 730 |

Is 73 a Perfect Cube? | No |

Is 73 an Odd Number? | Yes |

Square Root of 73 | 8.544004 |

Is 73 an Even Number? | No |

Is 73 a Perfect Square? | No |

Cube Root of 73 | 4.179333 |

**Fun Facts: **

- A perfect cube is always a composite number.
- 1 is neither prime nor composite.
- 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 287 a Prime Number? - No
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- Is 140 a Prime Number? - No
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- Is 431 a Prime Number? - Yes

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