Is 331 a prime number?

Prime Number Checker
Number

Is 331 a prime or composite number?

Answer

Number 331 is a Prime

331 has exactly two divisors — 1 and 331 — so it is a prime.

Primes up to √331

18² = 324 ≤ 331 < 361 = 19², so it is enough to try primes up to 18

  • ÷2 does not divide
  • ÷3 does not divide
  • ÷5 does not divide
  • ÷7 does not divide
  • ÷11 does not divide
  • ÷13 does not divide
  • ÷17 does not divide

none of the 7 primes up to 18 divides 331 — 331 is prime

Nearest primes: 317 and 337

Related Calculations

See Also

Prime numbers list

NumberIs Prime
309No: 3 × 103
310No: 2 × 5 × 31
311Yes
312No: 2³ × 3 × 13
313Yes
315No: 3² × 5 × 7
317Yes
318No: 2 × 3 × 53
319No: 11 × 29
321No: 3 × 107
322No: 2 × 7 × 23
323No: 17 × 19
324No: 2² × 3⁴
326No: 2 × 163
329No: 7 × 47
331Yes
332No: 2² × 83
333No: 3² × 37
334No: 2 × 167
335No: 5 × 67
336No: 2⁴ × 3 × 7
337Yes
341No: 11 × 31
343No: 7³
344No: 2³ × 43
345No: 3 × 5 × 23
347Yes
348No: 2² × 3 × 29
349Yes
350No: 2 × 5² × 7

FAQ

Is 331 a prime or composite number?

Number 331 is a Prime

How many factors are in a number 331?

2

How to check if 331 is prime?

Divide 331 by the primes in order: 18² = 324 ≤ 331 < 361 = 19², so it is enough to try primes up to 18. None of the 7 primes up to 18 divides 331, so 331 is prime.

See Also