# Is 353 a Prime Number?

Is 353 a prime number? How do you know that 353 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 353? Is 353 a prime number? * "Yes, 353 is a prime number."* Since 353 has only 2 factors i.e. 1 and 353, it is a prime number. Let's study this in detail.

**Is 353 a prime number? -**Yes**Is 353 a composite number? -**No**Factors of 353 -**1, 353**Is 353 a perfect square? -**No**Prime Factors of 353 -**353

## Is 353 a Prime Number?

Yes, 353 is a prime number. The number 353 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 353 has exactly two factors, i.e. 1 and 353, it is a prime number.

## How is 353 a Prime Number?

To understand whether 353 is prime or composite, it is important to find its factors.

**Factors of 353:** 1, 353

Therefore, we can say that 353 is a prime number since it has only 2 factors.

## Is 353 a Composite Number?

No, since 353 has only two factors, i.e. 1 and 353. In other words, 353 is not a composite number because 353 doesn’t have more than 2 factors.

**Problem Statements: **

Is 353 a Prime Number? | Yes |

Is 353 a Composite Number? | No |

Cube Root of 353 | 7.067363 |

Is 353 an Even Number? | No |

Square Root of 353 | 18.788294 |

Is 353 a Perfect Square? | No |

Multiples of 353 | 353, 706, 1059, 1412, 1765, 2118, 2471, 2824, 3177, 3530 |

Is 353 an Odd Number? | Yes |

Is 353 a Perfect Cube? | No |

**Fun Facts: **

- A palindrome prime is a prime number that when read in reverse order results in the same number. Examples - 787, 373, 353
- 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. - A semiprime number is a composite number that is the product of exactly two prime numbers. Example - 697 is semiprime, since 697 can be written as 17 × 41.

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