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Is 2013 a Prime Number?

Is 2013 a prime number? If a number has only two factors, i.e. 1 and the number itself, it is known as a prime number. In contrast, composite numbers have more than two factors. By this explanation, can we answer the question - is 2013 a prime number? According to the definition mentioned above, we can say "No, 2013 is not a prime number." Now let us take a look at the detailed solution of why is 2013 a prime number or a composite number?

  • Is 2013 a prime number? - No
  • Is 2013 a composite number? - Yes
  • Prime Factors of 2013 - 3, 11, 61
  • Factors of 2013 - 1, 3, 11, 33, 61, 183, 671, 2013
  • Is 2013 a perfect square? - No

Is 2013 a Prime or Composite?

Is 2013 a Prime Number?

No, 2013 is not a prime number. The number 2013 is divisible by 1, 3, 11, 33, 61, 183, 671, 2013. For a number to be classified as a prime number, it should have exactly two factors. Since 2013 has more than two factors, i.e. 1, 3, 11, 33, 61, 183, 671, 2013, it is not a prime number.

Is 2013 a Prime Number?

Why is 2013 not a Prime Number?

To understand whether 2013 is composite or prime, it is important to find its factors.

Factors of 2013: 1, 3, 11, 33, 61, 183, 671, 2013

Since 2013 has more than 2 factors, we can say that 2013 is not a prime number.

☛ Prime Number Calculator

Is 2013 a Composite Number?

Yes, since 2013 has more than two factors i.e. 1, 3, 11, 33, 61, 183, 671, 2013. In other words, 2013 is a composite number because 2013 has more than 2 factors.

Problem Statements:

Is 2013 a Prime Number? No
Is 2013 a Composite Number? Yes
Is 2013 a Perfect Cube? No
Multiples of 2013 2013, 4026, 6039, 8052, 10065, 12078, 14091, 16104, 18117, 20130
Cube Root of 2013 12.626418
Square of 2013 4052169
Is 2013 a Perfect Square? No
Is 2013 an Odd Number? Yes
Is 2013 an Even Number? No
Square Root of 2013 44.866469

Fun Facts:

  • A pair of prime numbers X and Y are said to be twin prime numbers if the absolute difference between them is 2. Example - (311, 313) are twin prime numbers.
  • Prime numbers greater than 5 can be represented in the form of either 6n + 1 or 6n - 1. Example - 71 is a prime number and it can be written as 71 = 6 × 12 - 1
  • 2 is the smallest prime number.

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