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Factors of 1005

"Factors of a Number" Calculator

What are the Factors of 1,005?

Answer

Factors of 1,005:

1, 3, 5, 15, 67, 201, 335, 1005

8 factors · 1005 = 3 × 5 × 67 · composite

Underlined — prime: 3, 5, 67 · 1 — neither prime nor composite · others — composite

Factor pairs of 1,005

4 pairs: 1 × 1005 · 3 × 335 · 5 × 201 · 15 × 67

Past √1005 ≈ 31.70 every pair would repeat one already found — so checking stops at 31.

1005 = 3 × 5 × 67 → (1 + 1) × (1 + 1) × (1 + 1) = 8 factors: add 1 to each exponent and multiply.

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Related Calculations

1005 in roman numerals

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 of 1005. Factors of 1,005: full list and factor pairs.

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Factors Table

Number	Factors
987	1, 3, 7, 21, 47, 141, 329, 987
988	1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
989	1, 23, 43, 989
990	1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
991	1, 991
992	1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
993	1, 3, 331, 993
994	1, 2, 7, 14, 71, 142, 497, 994
995	1, 5, 199, 995
996	1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
997	1, 997
998	1, 2, 499, 998
999	1, 3, 9, 27, 37, 111, 333, 999
1,000	1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000
1,001	1, 7, 11, 13, 77, 91, 143, 1001
1,005	1, 3, 5, 15, 67, 201, 335, 1005
1,008	1, 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
1,010	1, 2, 5, 10, 101, 202, 505, 1010
1,015	1, 5, 7, 29, 35, 145, 203, 1015
1,020	1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510, 1020
1,024	1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024
1,025	1, 5, 25, 41, 205, 1025
1,026	1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 114, 171, 342, 513, 1026
1,030	1, 2, 5, 10, 103, 206, 515, 1030
1,035	1, 3, 5, 9, 15, 23, 45, 69, 115, 207, 345, 1035
1,040	1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040
1,045	1, 5, 11, 19, 55, 95, 209, 1045
1,050	1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 150, 175, 210, 350, 525, 1050
1,055	1, 5, 211, 1055
1,056	1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528, 1056

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FAQ

What are the Factors of 1,005?

Factors of 1,005: 1, 3, 5, 15, 67, 201, 335, 1005

How many factors does 1,005 have?

Number 1,005 has 8 factors

How many Factor Pairs does 1,005 have?

Number 1,005 has 4 factor pairs

Is 1,005 a prime or composite number?

Composite: 1005 = 3 × 5 × 67, so it has 8 factors — a prime has exactly two.

How many factors does 1,005 have excluding 1 and 1,005?

6: 3, 5, 15, 67, 201 and 335.