Factors of 1008
The factors of 1008 are 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. It has 30 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1008 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1008 ≈ 31.75; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 30 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 3224. Without 1008 itself that is 2216, so 1008 is an abundant number.
LaTeX source of the formulas on this page
\[ 1008 = 2^{4} \times 3^{2} \times 7 \]Factor pairs of 1008
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1008 | 1 × 1008 = 1008 |
| 2 | 504 | 2 × 504 = 1008 |
| 3 | 336 | 3 × 336 = 1008 |
| 4 | 252 | 4 × 252 = 1008 |
| 6 | 168 | 6 × 168 = 1008 |
| 7 | 144 | 7 × 144 = 1008 |
| 8 | 126 | 8 × 126 = 1008 |
| 9 | 112 | 9 × 112 = 1008 |
| 12 | 84 | 12 × 84 = 1008 |
| 14 | 72 | 14 × 72 = 1008 |
| 16 | 63 | 16 × 63 = 1008 |
| 18 | 56 | 18 × 56 = 1008 |
| 21 | 48 | 21 × 48 = 1008 |
| 24 | 42 | 24 × 42 = 1008 |
| 28 | 36 | 28 × 36 = 1008 |
Questions
What are the factors of 1008?
The factors of 1008 are 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. It has 30 factors.
What are the prime factors of 1008?
2, 3, 7. As a product: × × 7.
How many factors does 1008 have?
1008 has 30 factors (15 factor pairs).
What is the sum of the factors of 1008?
3224.
Is 1008 a prime number?
No. It is divisible by 2, so 1008 = 2 × 504.