Factors of 1005
The factors of 1005 are 1, 3, 5, 15, 67, 201, 335, 1005. It has 8 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1005 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1005 ≈ 31.70; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 8 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 3 + 5 + 15 + 67 + 201 + 335 + 1005 = 1632. Without 1005 itself that is 627, so 1005 is a deficient number.
LaTeX source of the formulas on this page
\[ 1005 = 3 \times 5 \times 67 \]
Factor pairs of 1005
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1005 | 1 × 1005 = 1005 |
| 3 | 335 | 3 × 335 = 1005 |
| 5 | 201 | 5 × 201 = 1005 |
| 15 | 67 | 15 × 67 = 1005 |
Questions
What are the factors of 1005?
The factors of 1005 are 1, 3, 5, 15, 67, 201, 335, 1005. It has 8 factors.
What are the prime factors of 1005?
3, 5, 67. As a product: 3 × 5 × 67.
How many factors does 1005 have?
1005 has 8 factors (4 factor pairs).
What is the sum of the factors of 1005?
1632.
Is 1005 a prime number?
No. It is divisible by 3, so 1005 = 3 × 335.