# Is 123 a Prime Number?

Is 123 a prime number? How do you know that 123 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 123? Is 123 a prime number? * "No, 123 is not a prime number."* Since 123 has more than 2 factors i.e. 1, 3, 41, 123, it is a composite number. Let's study this in detail.

**Is 123 a prime number? -**No**Is 123 a composite number? -**Yes**Is 123 a perfect square? -**No**Factors of 123 -**1, 3, 41, 123**Prime Factors of 123 -**3, 41

## Is 123 a Prime Number?

No, 123 is not a prime number. The number 123 is divisible by 1, 3, 41, 123. For a number to be classified as a prime number, it should have exactly two factors. Since 123 has more than two factors, i.e. 1, 3, 41, 123, it is not a prime number.

## Why is 123 not a Prime Number?

To understand whether 123 is prime or composite, it is important to find its factors.

**Factors of 123:** 1, 3, 41, 123

Since 123 has more than 2 factors, we can say that 123 is not a prime number.

## Is 123 a Composite Number?

Yes, since 123 has more than two factors i.e. 1, 3, 41, 123. In other words, 123 is a composite number because 123 has more than 2 factors.

**Problem Statements: **

Is 123 a Prime Number? | No |

Is 123 a Composite Number? | Yes |

Cube Root of 123 | 4.973182 |

Multiples of 123 | 123, 246, 369, 492, 615, 738, 861, 984, 1107, 1230 |

Square Root of 123 | 11.090537 |

Is 123 an Even Number? | No |

Is 123 a Perfect Square? | No |

Is 123 an Odd Number? | Yes |

Is 123 a Perfect Cube? | No |

Square of 123 | 15129 |

**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.
- 2 is the smallest prime number.

**☛ Also Check: **

- Is 24 a Prime Number? - No
- Is 23 a Prime Number? - Yes
- Is 27 a Prime Number? - No
- Is 55 a Prime Number? - No
- Is 39 a Prime Number? - No
- Is 102 a Prime Number? - No
- Is 409 a Prime Number? - Yes
- Is 641 a Prime Number? - Yes