# Is 901 a Prime Number?

Is 901 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 901 is a prime number or composite, we need to divide it with numbers from 1 to 901. To find out the answer to this question * "is 901 is a prime number"* and to gain a detailed understanding of

*Let's learn more.*

**"how and why is 901 a prime number or a composite number?"****Is 901 a prime number? -**No**Is 901 a composite number? -**Yes**Prime Factors of 901 -**17, 53**Factors of 901 -**1, 17, 53, 901**Is 901 a perfect square? -**No

## Is 901 a Prime Number?

No, 901 is not a prime number. The number 901 is divisible by 1, 17, 53, 901. For a number to be classified as a prime number, it should have exactly two factors. Since 901 has more than two factors, i.e. 1, 17, 53, 901, it is not a prime number.

## Why is 901 not a Prime Number?

To understand whether 901 is prime or composite, it is important to find its factors.

**Factors of 901:** 1, 17, 53, 901

Since 901 has more than 2 factors, we can say that 901 is not a prime number.

## Is 901 a Composite Number?

Yes, since 901 has more than two factors i.e. 1, 17, 53, 901. In other words, 901 is a composite number because 901 has more than 2 factors.

**Problem Statements: **

Is 901 a Prime Number? | No |

Is 901 a Composite Number? | Yes |

Is 901 a Perfect Cube? | No |

Is 901 an Odd Number? | Yes |

Multiples of 901 | 901, 1802, 2703, 3604, 4505, 5406, 6307, 7208, 8109, 9010 |

Is 901 a Perfect Square? | No |

Cube Root of 901 | 9.658447 |

Is 901 an Even Number? | No |

Square of 901 | 811801 |

Square Root of 901 | 30.016662 |

**Fun Facts: **

- A perfect square (square number) is always a composite number.
- 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. - 23 is the smallest prime number having consecutive digits.

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