Factors of 361

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What are the factors of 361?

Answer

Factors of 361:

1, 19, 361

3 factors · 361 = 19² · composite

Underlined — prime: 19 · 1 — neither prime nor composite · others — composite

Factor pairs of 361

2 pairs: 1 × 361 · 19 × 19

19 × 19 is a pair of one factor — that is why 361 has an odd number of factors, 3.

361 = 19² → (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
346	1, 2, 173, 346
347	1, 347
348	1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
349	1, 349
350	1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
351	1, 3, 9, 13, 27, 39, 117, 351
352	1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
353	1, 353
354	1, 2, 3, 6, 59, 118, 177, 354
355	1, 5, 71, 355
356	1, 2, 4, 89, 178, 356
357	1, 3, 7, 17, 21, 51, 119, 357
358	1, 2, 179, 358
359	1, 359
360	1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
361	1, 19, 361
362	1, 2, 181, 362
363	1, 3, 11, 33, 121, 363
364	1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
365	1, 5, 73, 365
366	1, 2, 3, 6, 61, 122, 183, 366
367	1, 367
368	1, 2, 4, 8, 16, 23, 46, 92, 184, 368
369	1, 3, 9, 41, 123, 369
370	1, 2, 5, 10, 37, 74, 185, 370
371	1, 7, 53, 371
372	1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
373	1, 373
374	1, 2, 11, 17, 22, 34, 187, 374
375	1, 3, 5, 15, 25, 75, 125, 375

FAQ

What are the factors of 361?

Factors of 361: 1, 19, 361

How many factors does 361 have?

Number 361 has 3 factors

How many factor pairs does 361 have?

Number 361 has 2 factor pairs

Is 361 a prime or composite number?

Composite: 361 = 19², so it has 3 factors — a prime has exactly two.

How many factors does 361 have excluding 1 and 361?

1: 19.

Why does 361 have an odd number of factors?

361 is a perfect square: in the pair 19 × 19 the factor 19 pairs with itself, so the 3 factors are 1 pair plus 19.