Factors of 1296

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What are the Factors of 1,296?

Answer

Factors of 1,296:
25 factors: 1, 2, 3, 4, 6 … 432, 648, 1296
all 25 factors

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 324, 432, 648, 1296

25 factors · 1296 = 24 × 34 · composite

Underlined — prime: 2, 3 · 1 — neither prime nor composite · others — composite

Factor pairs of 1,296

  • 1 × 1296
  • 2 × 648
  • 3 × 432
  • 4 × 324
  • 6 × 216
  • 8 × 162
  • 9 × 144
  • 12 × 108

36 × 36 is a pair of one factor — that is why 1296 has an odd number of factors, 25.

all 13 pairs
  • 1 × 1296
  • 2 × 648
  • 3 × 432
  • 4 × 324
  • 6 × 216
  • 8 × 162
  • 9 × 144
  • 12 × 108
  • 16 × 81
  • 18 × 72
  • 24 × 54
  • 27 × 48
  • 36 × 36

1296 = 24 × 34 → (4 + 1) × (4 + 1) = 25 factors: add 1 to each exponent and multiply.

Related Calculations

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Factors Table

NumberFactors
1,2351, 5, 13, 19, 65, 95, 247, 1235
1,2401, 2, 4, 5, 8, 10, 20, 31, 40, 62, 124, 155, 248, 310, 620, 1240
1,2451, 3, 5, 15, 83, 249, 415, 1245
1,2501, 2, 5, 10, 25, 50, 125, 250, 625, 1250
1,2551, 5, 251, 1255
1,2601, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 84, 90, 105, 126, 140, 180, 210, 252, 315, 420, 630, 1260
1,2651, 5, 11, 23, 55, 115, 253, 1265
1,2701, 2, 5, 10, 127, 254, 635, 1270
1,2751, 3, 5, 15, 17, 25, 51, 75, 85, 255, 425, 1275
1,2801, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 640, 1280
1,2841, 2, 3, 4, 6, 12, 107, 214, 321, 428, 642, 1284
1,2851, 5, 257, 1285
1,2871, 3, 9, 11, 13, 33, 39, 99, 117, 143, 429, 1287
1,2901, 2, 3, 5, 6, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645, 1290
1,2951, 5, 7, 35, 37, 185, 259, 1295
1,2961, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 324, 432, 648, 1296
1,3001, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 260, 325, 650, 1300
1,3051, 3, 5, 9, 15, 29, 45, 87, 145, 261, 435, 1305
1,3101, 2, 5, 10, 131, 262, 655, 1310
1,3151, 5, 263, 1315
1,3201, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 88, 110, 120, 132, 165, 220, 264, 330, 440, 660, 1320
1,3251, 5, 25, 53, 265, 1325
1,3301, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, 1330
1,3351, 3, 5, 15, 89, 267, 445, 1335
1,3401, 2, 4, 5, 10, 20, 67, 134, 268, 335, 670, 1340
1,3451, 5, 269, 1345
1,3501, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, 1350
1,3551, 5, 271, 1355
1,3601, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680, 1360
1,3651, 3, 5, 7, 13, 15, 21, 35, 39, 65, 91, 105, 195, 273, 455, 1365

FAQ

What are the Factors of 1,296?

Factors of 1,296: 25 factors: 1, 2, 3, 4, 6 … 432, 648, 1296

How many factors does 1,296 have?

Number 1,296 has 25 factors

How many Factor Pairs does 1,296 have?

Number 1,296 has 13 factor pairs

Is 1,296 a prime or composite number?

Composite: 1296 = 2⁴ × 3⁴, so it has 25 factors — a prime has exactly two.

How many factors does 1,296 have excluding 1 and 1,296?

23 — all 25 factors except 1 and 1,296.

Why does 1,296 have an odd number of factors?

1,296 is a perfect square: in the pair 36 × 36 the factor 36 pairs with itself, so the 25 factors are 12 pairs plus 36.

See Also