Factors of 4140
The factors of 4140 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 23, 30, 36, 45, 46, 60, 69, 90, 92, 115, 138, 180, 207, 230, 276, 345, 414, 460, 690, 828, 1035, 1380, 2070, 4140. It has 36 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 4140 is a whole number that divides it with nothing left over. You only need to test the numbers up to √4140 ≈ 64.34; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 36 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 13104. Without 4140 itself that is 8964, so 4140 is an abundant number.
LaTeX source of the formulas on this page
\[ 4140 = 2^{2} \times 3^{2} \times 5 \times 23 \]Factor pairs of 4140
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 4140 | 1 × 4140 = 4140 |
| 2 | 2070 | 2 × 2070 = 4140 |
| 3 | 1380 | 3 × 1380 = 4140 |
| 4 | 1035 | 4 × 1035 = 4140 |
| 5 | 828 | 5 × 828 = 4140 |
| 6 | 690 | 6 × 690 = 4140 |
| 9 | 460 | 9 × 460 = 4140 |
| 10 | 414 | 10 × 414 = 4140 |
| 12 | 345 | 12 × 345 = 4140 |
| 15 | 276 | 15 × 276 = 4140 |
| 18 | 230 | 18 × 230 = 4140 |
| 20 | 207 | 20 × 207 = 4140 |
| 23 | 180 | 23 × 180 = 4140 |
| 30 | 138 | 30 × 138 = 4140 |
| 36 | 115 | 36 × 115 = 4140 |
| 45 | 92 | 45 × 92 = 4140 |
| 46 | 90 | 46 × 90 = 4140 |
| 60 | 69 | 60 × 69 = 4140 |
Questions
What are the factors of 4140?
The factors of 4140 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 23, 30, 36, 45, 46, 60, 69, 90, 92, 115, 138, 180, 207, 230, 276, 345, 414, 460, 690, 828, 1035, 1380, 2070, 4140. It has 36 factors.
What are the prime factors of 4140?
2, 3, 5, 23. As a product: × × 5 × 23.
How many factors does 4140 have?
4140 has 36 factors (18 factor pairs).
What is the sum of the factors of 4140?
13104.
Is 4140 a prime number?
No. It is divisible by 2, so 4140 = 2 × 2070.