# Is 1013 a Prime Number?

Is 1013 a prime number? Numbers having only 2 factors, i.e. 1 and the number itself are known as prime numbers whereas numbers with more than 2 factors are known as composite. The answer to the question whether 1013 is a prime or composite is - * "1013 is a prime number."* Now, let us find out how and why is 1013 a prime number or a composite number?

**Is 1013 a prime number? -**Yes**Is 1013 a composite number? -**No**Prime Factors of 1013 -**1013**Is 1013 a perfect square? -**No**Factors of 1013 -**1, 1013

## Is 1013 a Prime Number?

Yes, 1013 is a prime number. The number 1013 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 1013 has exactly two factors, i.e. 1 and 1013, it is a prime number.

## How is 1013 a Prime Number?

To understand whether 1013 is prime or composite, it is important to find its factors.

**Factors of 1013:** 1, 1013

Therefore, we can say that 1013 is a prime number since it has only 2 factors.

## Is 1013 a Composite Number?

No, since 1013 has only two factors, i.e. 1 and 1013. In other words, 1013 is not a composite number because 1013 doesn’t have more than 2 factors.

**Problem Statements: **

Is 1013 a Prime Number? | Yes |

Is 1013 a Composite Number? | No |

Multiples of 1013 | 1013, 2026, 3039, 4052, 5065, 6078, 7091, 8104, 9117, 10130 |

Is 1013 a Perfect Square? | No |

Is 1013 an Odd Number? | Yes |

Is 1013 an Even Number? | No |

Cube Root of 1013 | 10.043124 |

Is 1013 a Perfect Cube? | No |

Square Root of 1013 | 31.827661 |

**Fun Facts: **

- A perfect cube is always a composite number.
- 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
- 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.

**☛ Also Check: **

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