# Is 407 a Prime Number?

Is 407 a prime number? A prime number is divisible only by 1 and itself, which means it has no other divisor except 1 and the number itself. On the contrary, composite numbers have more than two factors. To determine if 407 is a prime number or composite, we need to divide it with numbers from 1 to 407. To find out the answer to this question * "is 407 is a prime number"* and to gain a detailed understanding of

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**"how and why is 407 a prime number or a composite number?"****Is 407 a prime number? -**No**Is 407 a composite number? -**Yes**Is 407 a perfect square? -**No**Prime Factors of 407 -**11, 37**Factors of 407 -**1, 11, 37, 407

## Is 407 a Prime Number?

No, 407 is not a prime number. The number 407 is divisible by 1, 11, 37, 407. For a number to be classified as a prime number, it should have exactly two factors. Since 407 has more than two factors, i.e. 1, 11, 37, 407, it is not a prime number.

## Why is 407 not a Prime Number?

To understand whether 407 is prime or composite, it is important to find its factors.

**Factors of 407:** 1, 11, 37, 407

Since 407 has more than 2 factors, we can say that 407 is not a prime number.

## Is 407 a Composite Number?

Yes, since 407 has more than two factors i.e. 1, 11, 37, 407. In other words, 407 is a composite number because 407 has more than 2 factors.

**Problem Statements: **

Is 407 a Prime Number? | No |

Is 407 a Composite Number? | Yes |

Is 407 an Odd Number? | Yes |

Multiples of 407 | 407, 814, 1221, 1628, 2035, 2442, 2849, 3256, 3663, 4070 |

Cube Root of 407 | 7.41078 |

Is 407 a Perfect Square? | No |

Square Root of 407 | 20.174241 |

Is 407 a Perfect Cube? | No |

Square of 407 | 165649 |

Is 407 an Even Number? | No |

**Fun Facts: **

- Numbers X and Y are said to be coprime if they have only one common factor that is 1.
- 23 is the smallest prime number having consecutive digits.
- A semiprime number is a composite number that is the product of exactly two prime numbers. Example - 115 is semiprime, since 115 can be written as 5 × 23.

**☛ Also Check: **

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