Factors of 1056

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What are the factors of 1,056?

Answer

Factors of 1,056:
24 factors: 1, 2, 3, 4, 6 … 352, 528, 1056
all 24 factors

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528, 1056

24 factors · 1056 = 25 × 3 × 11 · composite

Underlined — prime: 2, 3, 11 · 1 — neither prime nor composite · others — composite

Factor pairs of 1,056

  • 1 × 1056
  • 2 × 528
  • 3 × 352
  • 4 × 264
  • 6 × 176
  • 8 × 132
  • 11 × 96
  • 12 × 88
  • 16 × 66
  • 22 × 48
  • 24 × 44
  • 32 × 33

√1056 ≈ 32.50 — the last pair 32 × 33 sits here; past it pairs repeat.

1056 = 25 × 3 × 11 → (5 + 1) × (1 + 1) × (1 + 1) = 24 factors: add 1 to each exponent and multiply.

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Factors Table

NumberFactors
1,0011, 7, 11, 13, 77, 91, 143, 1001
1,0051, 3, 5, 15, 67, 201, 335, 1005
1,0081, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008
1,0101, 2, 5, 10, 101, 202, 505, 1010
1,0151, 5, 7, 29, 35, 145, 203, 1015
1,0201, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510, 1020
1,0241, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024
1,0251, 5, 25, 41, 205, 1025
1,0261, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 114, 171, 342, 513, 1026
1,0301, 2, 5, 10, 103, 206, 515, 1030
1,0351, 3, 5, 9, 15, 23, 45, 69, 115, 207, 345, 1035
1,0401, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040
1,0451, 5, 11, 19, 55, 95, 209, 1045
1,0501, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 150, 175, 210, 350, 525, 1050
1,0551, 5, 211, 1055
1,0561, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528, 1056
1,0601, 2, 4, 5, 10, 20, 53, 106, 212, 265, 530, 1060
1,0651, 3, 5, 15, 71, 213, 355, 1065
1,0701, 2, 5, 10, 107, 214, 535, 1070
1,0751, 5, 25, 43, 215, 1075
1,0801, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540, 1080
1,0851, 5, 7, 31, 35, 155, 217, 1085
1,0901, 2, 5, 10, 109, 218, 545, 1090
1,0951, 3, 5, 15, 73, 219, 365, 1095
1,1001, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 220, 275, 550, 1100
1,1051, 5, 13, 17, 65, 85, 221, 1105
1,1101, 2, 3, 5, 6, 10, 15, 30, 37, 74, 111, 185, 222, 370, 555, 1110
1,1151, 5, 223, 1115
1,1201, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, 1120
1,1251, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 1125

FAQ

What are the factors of 1,056?

Factors of 1,056: 24 factors: 1, 2, 3, 4, 6 … 352, 528, 1056

How many factors does 1,056 have?

Number 1,056 has 24 factors

How many factor pairs does 1,056 have?

Number 1,056 has 12 factor pairs

Is 1,056 a prime or composite number?

Composite: 1056 = 2⁵ × 3 × 11, so it has 24 factors — a prime has exactly two.

How many factors does 1,056 have excluding 1 and 1,056?

22 — all 24 factors except 1 and 1,056.

See Also