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Is 3 a Prime Number?

Is 3 a prime number? How do you know that 3 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 3? Is 3 a prime number? "Yes, 3 is a prime number." Since 3 has only 2 factors i.e. 1 and 3, it is a prime number. Let's study this in detail.

Is 3 a prime number? - Yes
Is 3 a composite number? - No
Prime Factors of 3 - 3
Factors of 3 - 1, 3
Is 3 a perfect square? - No

Yes, 3 is a prime number. The number 3 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 3 has exactly two factors, i.e. 1 and 3, it is a prime number.

Is 3 a Prime or Composite?

How is 3 a Prime Number?

To understand whether 3 is prime or composite, it is important to find its factors.

Factors of 3: 1, 3

Therefore, we can say that 3 is a prime number since it has only 2 factors.

☛ Prime Number Calculator

Is 3 a Composite Number?

No, since 3 has only two factors, i.e. 1 and 3. In other words, 3 is not a composite number because 3 doesn’t have more than 2 factors.

Problem Statements:

Is 3 a Prime Number?	Yes
Is 3 a Composite Number?	No
Is 3 an Odd Number?	Yes
Multiples of 3	3, 6, 9, 12, 15, 18, 21, 24, 27, 30
Is 3 a Perfect Cube?	No
Square Root of 3	1.732051
Cube Root of 3	1.442249
Is 3 an Even Number?	No
Is 3 a Perfect Square?	No

Fun Facts:

23 is the smallest prime number having consecutive digits.
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.
1 is neither prime nor composite.

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