Factors of 5328
The factors of 5328 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 37, 48, 72, 74, 111, 144, 148, 222, 296, 333, 444, 592, 666, 888, 1332, 1776, 2664, 5328. It has 30 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 5328 is a whole number that divides it with nothing left over. You only need to test the numbers up to √5328 ≈ 72.99; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 30 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 15314. Without 5328 itself that is 9986, so 5328 is an abundant number.
LaTeX source of the formulas on this page
\[ 5328 = 2^{4} \times 3^{2} \times 37 \]Factor pairs of 5328
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 5328 | 1 × 5328 = 5328 |
| 2 | 2664 | 2 × 2664 = 5328 |
| 3 | 1776 | 3 × 1776 = 5328 |
| 4 | 1332 | 4 × 1332 = 5328 |
| 6 | 888 | 6 × 888 = 5328 |
| 8 | 666 | 8 × 666 = 5328 |
| 9 | 592 | 9 × 592 = 5328 |
| 12 | 444 | 12 × 444 = 5328 |
| 16 | 333 | 16 × 333 = 5328 |
| 18 | 296 | 18 × 296 = 5328 |
| 24 | 222 | 24 × 222 = 5328 |
| 36 | 148 | 36 × 148 = 5328 |
| 37 | 144 | 37 × 144 = 5328 |
| 48 | 111 | 48 × 111 = 5328 |
| 72 | 74 | 72 × 74 = 5328 |
Questions
What are the factors of 5328?
The factors of 5328 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 37, 48, 72, 74, 111, 144, 148, 222, 296, 333, 444, 592, 666, 888, 1332, 1776, 2664, 5328. It has 30 factors.
What are the prime factors of 5328?
2, 3, 37. As a product: × × 37.
How many factors does 5328 have?
5328 has 30 factors (15 factor pairs).
What is the sum of the factors of 5328?
15314.
Is 5328 a prime number?
No. It is divisible by 2, so 5328 = 2 × 2664.