Factors of 1008

"Factors of a Number" Calculator

What are the Factors of 1,008?

Answer

Factors of 1,008:

30 factors: 1, 2, 3, 4, 6 … 336, 504, 1008

all 30 factors

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

30 factors · 1008 = 2⁴ × 3² × 7 · composite

Underlined — prime: 2, 3, 7 · 1 — neither prime nor composite · others — composite

Factor pairs of 1,008

1 × 1008
2 × 504
3 × 336
4 × 252
6 × 168
7 × 144
8 × 126
9 × 112
…

√1008 ≈ 31.75 — the last pair 28 × 36 sits here; past it pairs repeat.

all 15 pairs

1 × 1008
2 × 504
3 × 336
4 × 252
6 × 168
7 × 144
8 × 126
9 × 112
12 × 84
14 × 72
16 × 63
18 × 56
21 × 48
24 × 42
28 × 36

1008 = 2⁴ × 3² × 7 → (4 + 1) × (2 + 1) × (1 + 1) = 30 factors: add 1 to each exponent and multiply.

Related Calculations

Number 1008 Facts

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

Recalculate with different values ↑

Factors Table

Number	Factors
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
1,060	1, 2, 4, 5, 10, 20, 53, 106, 212, 265, 530, 1060

FAQ

What are the Factors of 1,008?

Factors of 1,008: 30 factors: 1, 2, 3, 4, 6 … 336, 504, 1008

How many factors does 1,008 have?

Number 1,008 has 30 factors

How many Factor Pairs does 1,008 have?

Number 1,008 has 15 factor pairs

Is 1,008 a prime or composite number?

Composite: 1008 = 2⁴ × 3² × 7, so it has 30 factors — a prime has exactly two.

How many factors does 1,008 have excluding 1 and 1,008?

28 — all 30 factors except 1 and 1,008.