# Is 413 a Prime Number?

Is 413 a prime number? How do you know that 413 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 413? Is 413 a prime number? * "No, 413 is not a prime number."* Since 413 has more than 2 factors i.e. 1, 7, 59, 413, it is a composite number. Let's study this in detail.

**Is 413 a prime number? -**No**Is 413 a composite number? -**Yes**Prime Factors of 413 -**7, 59**Factors of 413 -**1, 7, 59, 413**Is 413 a perfect square? -**No

## Is 413 a Prime Number?

No, 413 is not a prime number. The number 413 is divisible by 1, 7, 59, 413. For a number to be classified as a prime number, it should have exactly two factors. Since 413 has more than two factors, i.e. 1, 7, 59, 413, it is not a prime number.

## Why is 413 not a Prime Number?

To understand whether 413 is prime or composite, it is important to find its factors.

**Factors of 413:** 1, 7, 59, 413

Since 413 has more than 2 factors, we can say that 413 is not a prime number.

## Is 413 a Composite Number?

Yes, since 413 has more than two factors i.e. 1, 7, 59, 413. In other words, 413 is a composite number because 413 has more than 2 factors.

**Problem Statements: **

Is 413 a Prime Number? | No |

Is 413 a Composite Number? | Yes |

Is 413 an Odd Number? | Yes |

Square Root of 413 | 20.322401 |

Multiples of 413 | 413, 826, 1239, 1652, 2065, 2478, 2891, 3304, 3717, 4130 |

Is 413 a Perfect Cube? | No |

Is 413 a Perfect Square? | No |

Cube Root of 413 | 7.447019 |

Is 413 an Even Number? | No |

Square of 413 | 170569 |

**Fun Facts: **

- A palindrome prime is a prime number that when read in reverse order results in the same number. Examples - 10601, 11311, 12421
- Numbers X and Y are said to be coprime if they have only one common factor that is 1.
- 5 is the only prime number having the last digit as 5.

**☛ Also Check: **

- Is 119 a Prime Number? - No
- Is 57 a Prime Number? - No
- Is 107 a Prime Number? - Yes
- Is 2 a Prime Number? - Yes
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- Is 713 a Prime Number? - No
- Is 1007 a Prime Number? - No
- Is 769 a Prime Number? - Yes