Is 259 a prime number?

Prime Number Checker
Number

Is 259 a prime or composite number?

Answer

Number 259 is not a Prime

259 = 7 × 37

259 has 4 divisors — 1, 7, 37 and 259; a prime has exactly two: 1 and itself.

Primes up to √259

16² = 256 ≤ 259 < 289 = 17², so it is enough to try primes up to 16

  • ÷2 does not divide
  • ÷3 does not divide
  • ÷5 does not divide
  • ÷7 divides

259 ÷ 7 = 37 — 7 divides 259, so 259 is composite

Nearest primes: 257 and 263

Related Calculations

See Also

Prime numbers list

NumberIs Prime
238No: 2 × 7 × 17
239Yes
240No: 2⁴ × 3 × 5
241Yes
243No: 3⁵
246No: 2 × 3 × 41
247No: 13 × 19
249No: 3 × 83
250No: 2 × 5³
251Yes
252No: 2² × 3² × 7
253No: 11 × 23
255No: 3 × 5 × 17
256No: 2⁸
257Yes
259No: 7 × 37
261No: 3² × 29
263Yes
264No: 2³ × 3 × 11
266No: 2 × 7 × 19
267No: 3 × 89
268No: 2² × 67
269Yes
270No: 2 × 3³ × 5
271Yes
273No: 3 × 7 × 13
274No: 2 × 137
275No: 5² × 11
277Yes
279No: 3² × 31

FAQ

Is 259 a prime or composite number?

Number 259 is not a Prime

How many factors are in a number 259?

4

How to check if 259 is prime?

Divide 259 by the primes in order: 16² = 256 ≤ 259 < 289 = 17², so it is enough to try primes up to 16. The first one that divides it is 7: 259 ÷ 7 = 37, so 259 is composite.

See Also