# Is 823 a Prime Number?

Is 823 a Prime Number? * "Yes, 823 is a prime number."* A number can be classified as prime or composite depending on the factors it contains; it could either have only 2 factors or more than 2 factors. Numbers like 41 with only 2 factors, i.e. 1 and 41 are called prime numbers. However, numbers like 74 with more than 2 factors are called composite numbers. Let us find out how and why is 823 a prime number?

**Is 823 a prime number? -**Yes**Is 823 a composite number? -**No**Factors of 823 -**1, 823**Prime Factors of 823 -**823**Is 823 a perfect square? -**No

## Is 823 a Prime Number?

Yes, 823 is a prime number. The number 823 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 823 has exactly two factors, i.e. 1 and 823, it is a prime number.

## How is 823 a Prime Number?

To understand whether 823 is composite or prime, it is important to find its factors.

**Factors of 823:** 1, 823

Therefore, we can say that 823 is a prime number since it has only 2 factors.

## Is 823 a Composite Number?

No, since 823 has only two factors, i.e. 1 and 823. In other words, 823 is not a composite number because 823 doesn’t have more than 2 factors.

**Problem Statements: **

Is 823 a Prime Number? | Yes |

Is 823 a Composite Number? | No |

Is 823 an Odd Number? | Yes |

Multiples of 823 | 823, 1646, 2469, 3292, 4115, 4938, 5761, 6584, 7407, 8230 |

Square Root of 823 | 28.687977 |

Cube Root of 823 | 9.371281 |

Is 823 an Even Number? | No |

Is 823 a Perfect Cube? | No |

Is 823 a Perfect Square? | No |

**Fun Facts: **

- All prime numbers don't have the last digit as 5 except the number 5.
- All primes except 2 are odd.
- Prime numbers greater than 5 can be represented in the form of either 6n + 1 or 6n - 1. Example - 89 is a prime number and it can be written as 89 = 6 × 15 - 1

**☛ Also Check: **

- Is 67 a Prime Number? - Yes
- Is 289 a Prime Number? - No
- Is 64 a Prime Number? - No
- Is 42 a Prime Number? - No
- Is 123 a Prime Number? - No
- Is 389 a Prime Number? - Yes
- Is 145 a Prime Number? - No
- Is 701 a Prime Number? - Yes

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