# Is 421 a Prime Number?

Is 421 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 421 is a prime number or composite, we need to divide it with numbers from 1 to 421. To find out the answer to this question * "is 421 is a prime number"* and to gain a detailed understanding of

*Let's learn more.*

**"how and why is 421 a prime number?"****Is 421 a prime number? -**Yes**Is 421 a composite number? -**No**Prime Factors of 421 -**421**Is 421 a perfect square? -**No**Factors of 421 -**1, 421

## Is 421 a Prime Number?

Yes, 421 is a prime number. The number 421 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 421 has exactly two factors, i.e. 1 and 421, it is a prime number.

## How is 421 a Prime Number?

To understand whether 421 is prime or composite, it is important to find its factors.

**Factors of 421:** 1, 421

Therefore, we can say that 421 is a prime number since it has only 2 factors.

## Is 421 a Composite Number?

No, since 421 has only two factors, i.e. 1 and 421. In other words, 421 is not a composite number because 421 doesn’t have more than 2 factors.

**Problem Statements: **

Is 421 a Prime Number? | Yes |

Is 421 a Composite Number? | No |

Cube Root of 421 | 7.494796 |

Multiples of 421 | 421, 842, 1263, 1684, 2105, 2526, 2947, 3368, 3789, 4210 |

Is 421 a Perfect Cube? | No |

Is 421 an Odd Number? | Yes |

Is 421 an Even Number? | No |

Is 421 a Perfect Square? | No |

Square Root of 421 | 20.518285 |

**Fun Facts: **

- Prime numbers greater than 5 can be represented in the form of either 6n + 1 or 6n - 1. Example - 89 is a prime number and it can be written as 89 = 6 × 15 - 1
- All primes except 2 are odd.
- 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 1000 a Prime Number? - No
- Is 279 a Prime Number? - No
- Is 1 a Prime Number? - No
- Is 577 a Prime Number? - Yes
- Is 457 a Prime Number? - Yes
- Is 251 a Prime Number? - Yes
- Is 433 a Prime Number? - Yes
- Is 108 a Prime Number? - No

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