# Is 403 a Prime Number?

Is 403 a prime number? If a number has only two factors, i.e. 1 and the number itself, it is known as a prime number. In contrast, composite numbers have more than two factors. By this explanation, can we answer the question - is 403 a prime number? According to the definition mentioned above, we can say * "No, 403 is not a prime number."* Now let us take a look at the detailed solution of why is 403 a prime number or a composite number?

**Is 403 a prime number? -**No**Is 403 a composite number? -**Yes**Factors of 403 -**1, 13, 31, 403**Is 403 a perfect square? -**No**Prime Factors of 403 -**13, 31

## Is 403 a Prime Number?

No, 403 is not a prime number. The number 403 is divisible by 1, 13, 31, 403. For a number to be classified as a prime number, it should have exactly two factors. Since 403 has more than two factors, i.e. 1, 13, 31, 403, it is not a prime number.

## Why is 403 not a Prime Number?

To understand whether 403 is prime or composite, it is important to find its factors.

**Factors of 403:** 1, 13, 31, 403

Since 403 has more than 2 factors, we can say that 403 is not a prime number.

## Is 403 a Composite Number?

Yes, since 403 has more than two factors i.e. 1, 13, 31, 403. In other words, 403 is a composite number because 403 has more than 2 factors.

**Problem Statements: **

Is 403 a Prime Number? | No |

Is 403 a Composite Number? | Yes |

Cube Root of 403 | 7.386423 |

Square Root of 403 | 20.07486 |

Is 403 a Perfect Square? | No |

Is 403 a Perfect Cube? | No |

Is 403 an Odd Number? | Yes |

Is 403 an Even Number? | No |

Multiples of 403 | 403, 806, 1209, 1612, 2015, 2418, 2821, 3224, 3627, 4030 |

Square of 403 | 162409 |

**Fun Facts: **

- A palindrome prime is a prime number that when read in reverse order results in the same number. Examples - 10601, 11311, 12421
- Prime numbers greater than 5 can be represented in the form of either 6n + 1 or 6n - 1. Example - 71 is a prime number and it can be written as 71 = 6 × 12 - 1
- 5 is the only prime number having the last digit as 5.

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