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Is 261 a prime number?

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Is 261 a prime or composite number?

Answer

Number 261 is not a Prime

261 = 3² × 29

261 has 6 divisors — 1, 3, 9, 29, 87 and 261; a prime has exactly two: 1 and itself.

Primes up to √261

16² = 256 ≤ 261 < 289 = 17², so it is enough to try primes up to 16

÷2 does not divide
÷3 divides

261 ÷ 3 = 87 — 3 divides 261, so 261 is composite

Nearest primes: 257 and 263

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See Also

Factors of a Number - List all Factors and Factor Pairs of a Number
Prime Factorization - Prime Factorization Calculator
Prime Numbers List - List of all Prime Numbers - how many Prime numbers are between

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Is 261 a prime number? Is 261 a prime number? 261 is a composite number. Check if any number is prime or composite with our free online prime checker.

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Prime numbers list

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

FAQ

Is 261 a prime or composite number?

Number 261 is not a Prime

How many factors are in a number 261?

6

How to check if 261 is prime?

Divide 261 by the primes in order: 16² = 256 ≤ 261 < 289 = 17², so it is enough to try primes up to 16. The first one that divides it is 3: 261 ÷ 3 = 87, so 261 is composite.