Factors of 7344
The factors of 7344 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 27, 34, 36, 48, 51, 54, 68, 72, 102, 108, 136, 144, 153, 204, 216, 272, 306, 408, 432, 459, 612, 816, 918, 1224, 1836, 2448, 3672, 7344. It has 40 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 7344 is a whole number that divides it with nothing left over. You only need to test the numbers up to √7344 ≈ 85.70; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 40 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 22320. Without 7344 itself that is 14976, so 7344 is an abundant number.
LaTeX source of the formulas on this page
\[ 7344 = 2^{4} \times 3^{3} \times 17 \]Factor pairs of 7344
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 7344 | 1 × 7344 = 7344 |
| 2 | 3672 | 2 × 3672 = 7344 |
| 3 | 2448 | 3 × 2448 = 7344 |
| 4 | 1836 | 4 × 1836 = 7344 |
| 6 | 1224 | 6 × 1224 = 7344 |
| 8 | 918 | 8 × 918 = 7344 |
| 9 | 816 | 9 × 816 = 7344 |
| 12 | 612 | 12 × 612 = 7344 |
| 16 | 459 | 16 × 459 = 7344 |
| 17 | 432 | 17 × 432 = 7344 |
| 18 | 408 | 18 × 408 = 7344 |
| 24 | 306 | 24 × 306 = 7344 |
| 27 | 272 | 27 × 272 = 7344 |
| 34 | 216 | 34 × 216 = 7344 |
| 36 | 204 | 36 × 204 = 7344 |
| 48 | 153 | 48 × 153 = 7344 |
| 51 | 144 | 51 × 144 = 7344 |
| 54 | 136 | 54 × 136 = 7344 |
| 68 | 108 | 68 × 108 = 7344 |
| 72 | 102 | 72 × 102 = 7344 |
Questions
What are the factors of 7344?
The factors of 7344 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 27, 34, 36, 48, 51, 54, 68, 72, 102, 108, 136, 144, 153, 204, 216, 272, 306, 408, 432, 459, 612, 816, 918, 1224, 1836, 2448, 3672, 7344. It has 40 factors.
What are the prime factors of 7344?
2, 3, 17. As a product: × × 17.
How many factors does 7344 have?
7344 has 40 factors (20 factor pairs).
What is the sum of the factors of 7344?
22320.
Is 7344 a prime number?
No. It is divisible by 2, so 7344 = 2 × 3672.