# Is 1 a Prime Number?

Is 1 a prime number? How do you know that 1 is prime or composite? Let us first understand what makes a number 'prime'. If a number has only 2 factors (1 and the number itself), then it is a prime number. If the number has more than 2 factors, then it is composite. Now, what do you think of 1? Is 1 a prime number? * "No, 1 is not a prime number."* Since 1 has only 1 factor that is 1 itself. Let's study this in detail.

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

## Is 1 a Prime Number?

No, 1 is not a prime number. The number 1 has only 1 factor. For a number to be classified as a prime number, it should have exactly two factors. Since 1 has less than two factors, it is not a prime number.

## Why is 1 not a Prime Number?

To understand whether 1 is prime or composite, it is important to find its factors.

**Factors of 1:** 1

Since 1 has less than 2 factors, we can say that 1 is not a prime number.

## 1 is neither prime nor composite

**Problem Statements: **

Is 1 a Prime Number? | No |

Is 1 a Composite Number? | No |

Multiples of 1 | 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 |

Is 1 an Even Number? | No |

Cube Root of 1 | 1 |

Square of 1 | 1 |

Square Root of 1 | 1 |

Is 1 an Odd Number? | Yes |

Is 1 a Perfect Square? | Yes |

Is 1 a Perfect Cube? | Yes |

**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. - A palindrome prime is a prime number that when read in reverse order results in the same number. Examples - 10501, 929, 12821
- A perfect cube is always a composite number.

**☛ Also Check: **

- Is 26 a Prime Number? - No
- Is 20 a Prime Number? - No
- Is 39 a Prime Number? - No
- Is 127 a Prime Number? - Yes
- Is 111 a Prime Number? - No
- Is 211 a Prime Number? - Yes
- Is 183 a Prime Number? - No
- Is 210 a Prime Number? - No

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