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Is 331 a Prime Number?

Is 331 a prime number? How do you know that 331 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 331? Is 331 a prime number? "Yes, 331 is a prime number." Since 331 has only 2 factors i.e. 1 and 331, it is a prime number. Let's study this in detail.

Is 331 a prime number? - Yes
Is 331 a composite number? - No
Prime Factors of 331 - 331
Factors of 331 - 1, 331
Is 331 a perfect square? - No

Yes, 331 is a prime number. The number 331 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 331 has exactly two factors, i.e. 1 and 331, it is a prime number.

Is 331 a Prime or Composite?

How is 331 a Prime Number?

To understand whether 331 is composite or prime, it is important to find its factors.

Factors of 331: 1, 331

Therefore, we can say that 331 is a prime number since it has only 2 factors.

☛ Prime Number Calculator

Is 331 a Composite Number?

No, since 331 has only two factors, i.e. 1 and 331. In other words, 331 is not a composite number because 331 doesn’t have more than 2 factors.

Problem Statements:

Is 331 a Prime Number?	Yes
Is 331 a Composite Number?	No
Square Root of 331	18.193405
Is 331 an Odd Number?	Yes
Cube Root of 331	6.917383
Is 331 a Perfect Cube?	No
Is 331 an Even Number?	No
Is 331 a Perfect Square?	No
Multiples of 331	331, 662, 993, 1324, 1655, 1986, 2317, 2648, 2979, 3310

Fun Facts:

A perfect cube is always a composite number.
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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