Factors of 364

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What are the factors of 364?

Answer

Factors of 364:
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

12 factors · 364 = 22 × 7 × 13 · composite

Underlined — prime: 2, 7, 13 · 1 — neither prime nor composite · others — composite

Factor pairs of 364

  • 1 × 364
  • 2 × 182
  • 4 × 91
  • 7 × 52
  • 13 × 28
  • 14 × 26

√364 ≈ 19.08 — the last pair 14 × 26 sits here; past it pairs repeat.

364 = 22 × 7 × 13 → (2 + 1) × (1 + 1) × (1 + 1) = 12 factors: add 1 to each exponent and multiply.

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Factors Table

NumberFactors
3491, 349
3501, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
3511, 3, 9, 13, 27, 39, 117, 351
3521, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
3531, 353
3541, 2, 3, 6, 59, 118, 177, 354
3551, 5, 71, 355
3561, 2, 4, 89, 178, 356
3571, 3, 7, 17, 21, 51, 119, 357
3581, 2, 179, 358
3591, 359
3601, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
3611, 19, 361
3621, 2, 181, 362
3631, 3, 11, 33, 121, 363
3641, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
3651, 5, 73, 365
3661, 2, 3, 6, 61, 122, 183, 366
3671, 367
3681, 2, 4, 8, 16, 23, 46, 92, 184, 368
3691, 3, 9, 41, 123, 369
3701, 2, 5, 10, 37, 74, 185, 370
3711, 7, 53, 371
3721, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
3731, 373
3741, 2, 11, 17, 22, 34, 187, 374
3751, 3, 5, 15, 25, 75, 125, 375
3761, 2, 4, 8, 47, 94, 188, 376
3771, 13, 29, 377
3781, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

FAQ

What are the factors of 364?

Factors of 364: 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

How many factors does 364 have?

Number 364 has 12 factors

How many factor pairs does 364 have?

Number 364 has 6 factor pairs

Is 364 a prime or composite number?

Composite: 364 = 2² × 7 × 13, so it has 12 factors — a prime has exactly two.

How many factors does 364 have excluding 1 and 364?

10: 2, 4, 7, 13, 14, 26, 28, 52, 91 and 182.

See Also