Factors of 289

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What are the Factors of 289?

Answer

Factors of 289:

1, 17, 289

3 factors · 289 = 17² · composite

Underlined — prime: 17 · 1 — neither prime nor composite · others — composite

Factor pairs of 289

2 pairs: 1 × 289 · 17 × 17

17 × 17 is a pair of one factor — that is why 289 has an odd number of factors, 3.

289 = 17² → (2 + 1) = 3 factors: add 1 to each exponent and multiply.

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See Also

Prime Number Checker - Find out whether a given number is Prime or not
Prime Factorization - Prime Factorization Calculator
Prime Numbers List - List of all Prime Numbers - how many Prime numbers are between

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Factors Table

Number	Factors
274	1, 2, 137, 274
275	1, 5, 11, 25, 55, 275
276	1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
277	1, 277
278	1, 2, 139, 278
279	1, 3, 9, 31, 93, 279
280	1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
281	1, 281
282	1, 2, 3, 6, 47, 94, 141, 282
283	1, 283
284	1, 2, 4, 71, 142, 284
285	1, 3, 5, 15, 19, 57, 95, 285
286	1, 2, 11, 13, 22, 26, 143, 286
287	1, 7, 41, 287
288	1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
289	1, 17, 289
290	1, 2, 5, 10, 29, 58, 145, 290
291	1, 3, 97, 291
292	1, 2, 4, 73, 146, 292
293	1, 293
294	1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
295	1, 5, 59, 295
296	1, 2, 4, 8, 37, 74, 148, 296
297	1, 3, 9, 11, 27, 33, 99, 297
298	1, 2, 149, 298
299	1, 13, 23, 299
300	1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
301	1, 7, 43, 301
302	1, 2, 151, 302
303	1, 3, 101, 303

FAQ

What are the Factors of 289?

Factors of 289: 1, 17, 289

How many factors does 289 have?

Number 289 has 3 factors

How many Factor Pairs does 289 have?

Number 289 has 2 factor pairs

Is 289 a prime or composite number?

Composite: 289 = 17², so it has 3 factors — a prime has exactly two.

How many factors does 289 have excluding 1 and 289?

1: 17.

Why does 289 have an odd number of factors?

289 is a perfect square: in the pair 17 × 17 the factor 17 pairs with itself, so the 3 factors are 1 pair plus 17.