Factors of 1008
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What are the Factors of 1008?
Answer
Factors of 1008:
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 1008 has 30 factors)
Factor Pairs of 1008
A Factor Pair of number 1008 is a combination of two factors which can be multiplied together to equal 1008.
List of all possible Factor Pairs of 1008:
- 1 × 1008 = 1008
- 2 × 504 = 1008
- 3 × 336 = 1008
- 4 × 252 = 1008
- 6 × 168 = 1008
- 7 × 144 = 1008
- 8 × 126 = 1008
- 9 × 112 = 1008
- 12 × 84 = 1008
- 14 × 72 = 1008
- 16 × 63 = 1008
- 18 × 56 = 1008
- 21 × 48 = 1008
- 24 × 42 = 1008
- 28 × 36 = 1008
Why 1008 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.
1008 = 24 × 32 × 7
(4 + 1) × (2 + 1) × (1 + 1) = 30
Step-by-step factorization: Prime factors of 1008.
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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 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 |
| 1000 | 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000 |
| 1001 | 1, 7, 11, 13, 77, 91, 143, 1001 |
| 1005 | 1, 3, 5, 15, 67, 201, 335, 1005 |
| 1008 | 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 |
| 1010 | 1, 2, 5, 10, 101, 202, 505, 1010 |
| 1015 | 1, 5, 7, 29, 35, 145, 203, 1015 |
| 1020 | 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510, 1020 |
| 1024 | 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024 |
| 1025 | 1, 5, 25, 41, 205, 1025 |
| 1026 | 1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 114, 171, 342, 513, 1026 |
| 1030 | 1, 2, 5, 10, 103, 206, 515, 1030 |
| 1035 | 1, 3, 5, 9, 15, 23, 45, 69, 115, 207, 345, 1035 |
| 1040 | 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040 |
| 1045 | 1, 5, 11, 19, 55, 95, 209, 1045 |
| 1050 | 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 150, 175, 210, 350, 525, 1050 |
| 1055 | 1, 5, 211, 1055 |
| 1056 | 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528, 1056 |
| 1060 | 1, 2, 4, 5, 10, 20, 53, 106, 212, 265, 530, 1060 |
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 1008? (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