Factors of 4104
The factors of 4104 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 27, 36, 38, 54, 57, 72, 76, 108, 114, 152, 171, 216, 228, 342, 456, 513, 684, 1026, 1368, 2052, 4104. It has 32 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 4104 is a whole number that divides it with nothing left over. You only need to test the numbers up to √4104 ≈ 64.06; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 32 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 12000. Without 4104 itself that is 7896, so 4104 is an abundant number.
LaTeX source of the formulas on this page
\[ 4104 = 2^{3} \times 3^{3} \times 19 \]Factor pairs of 4104
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 4104 | 1 × 4104 = 4104 |
| 2 | 2052 | 2 × 2052 = 4104 |
| 3 | 1368 | 3 × 1368 = 4104 |
| 4 | 1026 | 4 × 1026 = 4104 |
| 6 | 684 | 6 × 684 = 4104 |
| 8 | 513 | 8 × 513 = 4104 |
| 9 | 456 | 9 × 456 = 4104 |
| 12 | 342 | 12 × 342 = 4104 |
| 18 | 228 | 18 × 228 = 4104 |
| 19 | 216 | 19 × 216 = 4104 |
| 24 | 171 | 24 × 171 = 4104 |
| 27 | 152 | 27 × 152 = 4104 |
| 36 | 114 | 36 × 114 = 4104 |
| 38 | 108 | 38 × 108 = 4104 |
| 54 | 76 | 54 × 76 = 4104 |
| 57 | 72 | 57 × 72 = 4104 |
Questions
What are the factors of 4104?
The factors of 4104 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 27, 36, 38, 54, 57, 72, 76, 108, 114, 152, 171, 216, 228, 342, 456, 513, 684, 1026, 1368, 2052, 4104. It has 32 factors.
What are the prime factors of 4104?
2, 3, 19. As a product: × × 19.
How many factors does 4104 have?
4104 has 32 factors (16 factor pairs).
What is the sum of the factors of 4104?
12000.
Is 4104 a prime number?
No. It is divisible by 2, so 4104 = 2 × 2052.