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# Is 3 a Prime Number?

Is 3 a prime number? How do you know that 3 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 3? Is 3 a prime number? * "Yes, 3 is a prime number."* Since 3 has only 2 factors i.e. 1 and 3, it is a prime number. Let's study this in detail.

**Is 3 a prime number? -**Yes**Is 3 a composite number? -**No**Prime Factors of 3 -**3**Factors of 3 -**1, 3**Is 3 a perfect square? -**No

## Is 3 a Prime Number?

Yes, 3 is a prime number. The number 3 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 3 has exactly two factors, i.e. 1 and 3, it is a prime number.

## How is 3 a Prime Number?

To understand whether 3 is prime or composite, it is important to find its factors.

**Factors of 3:** 1, 3

Therefore, we can say that 3 is a prime number since it has only 2 factors.

## Is 3 a Composite Number?

No, since 3 has only two factors, i.e. 1 and 3. In other words, 3 is not a composite number because 3 doesn’t have more than 2 factors.

**Problem Statements: **

Is 3 a Prime Number? | Yes |

Is 3 a Composite Number? | No |

Is 3 an Odd Number? | Yes |

Multiples of 3 | 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 |

Is 3 a Perfect Cube? | No |

Square Root of 3 | 1.732051 |

Cube Root of 3 | 1.442249 |

Is 3 an Even Number? | No |

Is 3 a Perfect Square? | No |

**Fun Facts: **

- 23 is the smallest prime number having consecutive digits.
- 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. - 1 is neither prime nor composite.

**☛ Also Check: **

- Is 503 a Prime Number? - Yes
- Is 207 a Prime Number? - No
- Is 713 a Prime Number? - No
- Is 623 a Prime Number? - No
- Is 34 a Prime Number? - No
- Is 124 a Prime Number? - No
- Is 67 a Prime Number? - Yes
- Is 2047 a Prime Number? - No

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