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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

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.

Is 1013 a Prime or Composite?

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.

☛ Prime Number Calculator

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 n² + 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.

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