A day full of math games & activities. Find one near you.

Is 313 a Prime Number?

Is 313 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 313 a prime number? According to the definition mentioned above, we can say "yes, 313 is a prime number." Now let us take a look at the detailed solution of why is 313 a prime number?

Is 313 a prime number? - Yes
Is 313 a composite number? - No
Factors of 313 - 1, 313
Is 313 a perfect square? - No
Prime Factors of 313 - 313

Yes, 313 is a prime number. The number 313 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 313 has exactly two factors, i.e. 1 and 313, it is a prime number.

Is 313 a Prime or Composite?

How is 313 a Prime Number?

To understand whether 313 is composite or prime, it is important to find its factors.

Factors of 313: 1, 313

Therefore, we can say that 313 is a prime number since it has only 2 factors.

☛ Prime Number Calculator

Is 313 a Composite Number?

No, since 313 has only two factors, i.e. 1 and 313. In other words, 313 is not a composite number because 313 doesn’t have more than 2 factors.

Problem Statements:

Is 313 a Prime Number?	Yes
Is 313 a Composite Number?	No
Is 313 an Even Number?	No
Cube Root of 313	6.789648
Is 313 a Perfect Cube?	No
Square Root of 313	17.691806
Is 313 an Odd Number?	Yes
Is 313 a Perfect Square?	No
Multiples of 313	313, 626, 939, 1252, 1565, 1878, 2191, 2504, 2817, 3130

Fun Facts:

A perfect cube is always a composite number.
All prime numbers don't have the last digit as 5 except the number 5.
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.

☛ Also Check: