Factors of 315

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What are the factors of 315?

Answer

Factors of 315:
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

12 factors · 315 = 32 × 5 × 7 · composite

Underlined — prime: 3, 5, 7 · 1 — neither prime nor composite · others — composite

Factor pairs of 315

  • 1 × 315
  • 3 × 105
  • 5 × 63
  • 7 × 45
  • 9 × 35
  • 15 × 21

√315 ≈ 17.75 — the last pair 15 × 21 sits here; past it pairs repeat.

315 = 32 × 5 × 7 → (2 + 1) × (1 + 1) × (1 + 1) = 12 factors: add 1 to each exponent and multiply.

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Factors Table

NumberFactors
3001, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
3011, 7, 43, 301
3021, 2, 151, 302
3031, 3, 101, 303
3041, 2, 4, 8, 16, 19, 38, 76, 152, 304
3051, 5, 61, 305
3061, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
3071, 307
3081, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
3091, 3, 103, 309
3101, 2, 5, 10, 31, 62, 155, 310
3111, 311
3121, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
3131, 313
3141, 2, 157, 314
3151, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
3161, 2, 4, 79, 158, 316
3171, 317
3181, 2, 3, 6, 53, 106, 159, 318
3191, 11, 29, 319
3201, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
3211, 3, 107, 321
3221, 2, 7, 14, 23, 46, 161, 322
3231, 17, 19, 323
3241, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
3251, 5, 13, 25, 65, 325
3261, 2, 163, 326
3271, 3, 109, 327
3281, 2, 4, 8, 41, 82, 164, 328
3291, 7, 47, 329

FAQ

What are the factors of 315?

Factors of 315: 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

How many factors does 315 have?

Number 315 has 12 factors

How many factor pairs does 315 have?

Number 315 has 6 factor pairs

Is 315 a prime or composite number?

Composite: 315 = 3² × 5 × 7, so it has 12 factors — a prime has exactly two.

How many factors does 315 have excluding 1 and 315?

10: 3, 5, 7, 9, 15, 21, 35, 45, 63 and 105.

See Also