# Is 401 a Prime Number?

Is 401 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 401 is a prime number or composite, we need to divide it with numbers from 1 to 401. To find out the answer to this question * "is 401 is a prime number"* and to gain a detailed understanding of

*Let's learn more.*

**"how and why is 401 a prime number?"****Is 401 a prime number? -**Yes**Is 401 a composite number? -**No**Is 401 a perfect square? -**No**Factors of 401 -**1, 401**Prime Factors of 401 -**401

## Is 401 a Prime Number?

Yes, 401 is a prime number. The number 401 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 401 has exactly two factors, i.e. 1 and 401, it is a prime number.

## How is 401 a Prime Number?

To understand whether 401 is prime or composite, it is important to find its factors.

**Factors of 401:** 1, 401

Therefore, we can say that 401 is a prime number since it has only 2 factors.

## Is 401 a Composite Number?

No, since 401 has only two factors, i.e. 1 and 401. In other words, 401 is not a composite number because 401 doesn’t have more than 2 factors.

**Problem Statements: **

Is 401 a Prime Number? | Yes |

Is 401 a Composite Number? | No |

Square Root of 401 | 20.024984 |

Multiples of 401 | 401, 802, 1203, 1604, 2005, 2406, 2807, 3208, 3609, 4010 |

Is 401 a Perfect Cube? | No |

Cube Root of 401 | 7.374183 |

Is 401 a Perfect Square? | No |

Is 401 an Odd Number? | Yes |

Is 401 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. - 23 is the smallest prime number having consecutive digits.
- All prime numbers don't have the last digit as 5 except the number 5.

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