Factors of 3507
The factors of 3507 are 1, 3, 7, 21, 167, 501, 1169, 3507. It has 8 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3507 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3507 ≈ 59.22; 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 + 7 + 21 + 167 + 501 + 1169 + 3507 = 5376. Without 3507 itself that is 1869, so 3507 is a deficient number.
LaTeX source of the formulas on this page
\[ 3507 = 3 \times 7 \times 167 \]
Factor pairs of 3507
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3507 | 1 × 3507 = 3507 |
| 3 | 1169 | 3 × 1169 = 3507 |
| 7 | 501 | 7 × 501 = 3507 |
| 21 | 167 | 21 × 167 = 3507 |
Questions
What are the factors of 3507?
The factors of 3507 are 1, 3, 7, 21, 167, 501, 1169, 3507. It has 8 factors.
What are the prime factors of 3507?
3, 7, 167. As a product: 3 × 7 × 167.
How many factors does 3507 have?
3507 has 8 factors (4 factor pairs).
What is the sum of the factors of 3507?
5376.
Is 3507 a prime number?
No. It is divisible by 3, so 3507 = 3 × 1169.