Factors of 1008

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What are the Factors of 1,008?

Answer

Factors of 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

(number 1,008 has 30 factors)

Factor Pairs of 1,008

A Factor Pair of number 1,008 is a combination of two factors which can be multiplied together to equal 1,008.

List of all possible Factor Pairs of 1,008:

  • 1 × 1,008 = 1,008
  • 2 × 504 = 1,008
  • 3 × 336 = 1,008
  • 4 × 252 = 1,008
  • 6 × 168 = 1,008
  • 7 × 144 = 1,008
  • 8 × 126 = 1,008
  • 9 × 112 = 1,008
  • 12 × 84 = 1,008
  • 14 × 72 = 1,008
  • 16 × 63 = 1,008
  • 18 × 56 = 1,008
  • 21 × 48 = 1,008
  • 24 × 42 = 1,008
  • 28 × 36 = 1,008

Why 1,008 has exactly 30 factors

The count follows from the prime factorization: add 1 to each exponent and multiply. Counting the divisors this way needs no trial division at all, however large the number is.

1,008 = 24 × 32 × 7

(4 + 1) × (2 + 1) × (1 + 1) = 30

Step-by-step factorization: Prime factors of 1,008.

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About "Factors of a Number" Calculator

This calculator will help you find all factors of a given number. For example, it can help you find out what are the Factors of 1,008? (The answer is: 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). Pick the number (e.g. '1008'). After that hit the 'Find' button.
The Factors of a number are numbers that divides initial number evenly, with no remainder
"Factors of a Number" Calculator
Factors of

Factors Table

NumberFactors
9881, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
9891, 23, 43, 989
9901, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
9911, 991
9921, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
9931, 3, 331, 993
9941, 2, 7, 14, 71, 142, 497, 994
9951, 5, 199, 995
9961, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
9971, 997
9981, 2, 499, 998
9991, 3, 9, 27, 37, 111, 333, 999
1,0001, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000
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

FAQ

What are the Factors of 1,008?

Factors of 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

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

See Also