Factors of 3744
The factors of 3744 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 72, 78, 96, 104, 117, 144, 156, 208, 234, 288, 312, 416, 468, 624, 936, 1248, 1872, 3744. It has 36 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3744 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3744 ≈ 61.19; 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 11466. Without 3744 itself that is 7722, so 3744 is an abundant number.
LaTeX source of the formulas on this page
\[ 3744 = 2^{5} \times 3^{2} \times 13 \]Factor pairs of 3744
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3744 | 1 × 3744 = 3744 |
| 2 | 1872 | 2 × 1872 = 3744 |
| 3 | 1248 | 3 × 1248 = 3744 |
| 4 | 936 | 4 × 936 = 3744 |
| 6 | 624 | 6 × 624 = 3744 |
| 8 | 468 | 8 × 468 = 3744 |
| 9 | 416 | 9 × 416 = 3744 |
| 12 | 312 | 12 × 312 = 3744 |
| 13 | 288 | 13 × 288 = 3744 |
| 16 | 234 | 16 × 234 = 3744 |
| 18 | 208 | 18 × 208 = 3744 |
| 24 | 156 | 24 × 156 = 3744 |
| 26 | 144 | 26 × 144 = 3744 |
| 32 | 117 | 32 × 117 = 3744 |
| 36 | 104 | 36 × 104 = 3744 |
| 39 | 96 | 39 × 96 = 3744 |
| 48 | 78 | 48 × 78 = 3744 |
| 52 | 72 | 52 × 72 = 3744 |
Questions
What are the factors of 3744?
The factors of 3744 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 72, 78, 96, 104, 117, 144, 156, 208, 234, 288, 312, 416, 468, 624, 936, 1248, 1872, 3744. It has 36 factors.
What are the prime factors of 3744?
2, 3, 13. As a product: × × 13.
How many factors does 3744 have?
3744 has 36 factors (18 factor pairs).
What is the sum of the factors of 3744?
11466.
Is 3744 a prime number?
No. It is divisible by 2, so 3744 = 2 × 1872.