Factors of 3864
The factors of 3864 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 23, 24, 28, 42, 46, 56, 69, 84, 92, 138, 161, 168, 184, 276, 322, 483, 552, 644, 966, 1288, 1932, 3864. It has 32 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3864 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3864 ≈ 62.16; 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 11520. Without 3864 itself that is 7656, so 3864 is an abundant number.
LaTeX source of the formulas on this page
\[ 3864 = 2^{3} \times 3 \times 7 \times 23 \]Factor pairs of 3864
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3864 | 1 × 3864 = 3864 |
| 2 | 1932 | 2 × 1932 = 3864 |
| 3 | 1288 | 3 × 1288 = 3864 |
| 4 | 966 | 4 × 966 = 3864 |
| 6 | 644 | 6 × 644 = 3864 |
| 7 | 552 | 7 × 552 = 3864 |
| 8 | 483 | 8 × 483 = 3864 |
| 12 | 322 | 12 × 322 = 3864 |
| 14 | 276 | 14 × 276 = 3864 |
| 21 | 184 | 21 × 184 = 3864 |
| 23 | 168 | 23 × 168 = 3864 |
| 24 | 161 | 24 × 161 = 3864 |
| 28 | 138 | 28 × 138 = 3864 |
| 42 | 92 | 42 × 92 = 3864 |
| 46 | 84 | 46 × 84 = 3864 |
| 56 | 69 | 56 × 69 = 3864 |
Questions
What are the factors of 3864?
The factors of 3864 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 23, 24, 28, 42, 46, 56, 69, 84, 92, 138, 161, 168, 184, 276, 322, 483, 552, 644, 966, 1288, 1932, 3864. It has 32 factors.
What are the prime factors of 3864?
2, 3, 7, 23. As a product: × 3 × 7 × 23.
How many factors does 3864 have?
3864 has 32 factors (16 factor pairs).
What is the sum of the factors of 3864?
11520.
Is 3864 a prime number?
No. It is divisible by 2, so 3864 = 2 × 1932.