Factors of 3648
The factors of 3648 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 152, 192, 228, 304, 456, 608, 912, 1216, 1824, 3648. It has 28 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3648 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3648 ≈ 60.40; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 28 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 10160. Without 3648 itself that is 6512, so 3648 is an abundant number.
LaTeX source of the formulas on this page
\[ 3648 = 2^{6} \times 3 \times 19 \]Factor pairs of 3648
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3648 | 1 × 3648 = 3648 |
| 2 | 1824 | 2 × 1824 = 3648 |
| 3 | 1216 | 3 × 1216 = 3648 |
| 4 | 912 | 4 × 912 = 3648 |
| 6 | 608 | 6 × 608 = 3648 |
| 8 | 456 | 8 × 456 = 3648 |
| 12 | 304 | 12 × 304 = 3648 |
| 16 | 228 | 16 × 228 = 3648 |
| 19 | 192 | 19 × 192 = 3648 |
| 24 | 152 | 24 × 152 = 3648 |
| 32 | 114 | 32 × 114 = 3648 |
| 38 | 96 | 38 × 96 = 3648 |
| 48 | 76 | 48 × 76 = 3648 |
| 57 | 64 | 57 × 64 = 3648 |
Questions
What are the factors of 3648?
The factors of 3648 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 152, 192, 228, 304, 456, 608, 912, 1216, 1824, 3648. It has 28 factors.
What are the prime factors of 3648?
2, 3, 19. As a product: × 3 × 19.
How many factors does 3648 have?
3648 has 28 factors (14 factor pairs).
What is the sum of the factors of 3648?
10160.
Is 3648 a prime number?
No. It is divisible by 2, so 3648 = 2 × 1824.