Factors of 8352
The factors of 8352 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 32, 36, 48, 58, 72, 87, 96, 116, 144, 174, 232, 261, 288, 348, 464, 522, 696, 928, 1044, 1392, 2088, 2784, 4176, 8352. It has 36 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 8352 is a whole number that divides it with nothing left over. You only need to test the numbers up to √8352 ≈ 91.39; 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 24570. Without 8352 itself that is 16218, so 8352 is an abundant number.
LaTeX source of the formulas on this page
\[ 8352 = 2^{5} \times 3^{2} \times 29 \]Factor pairs of 8352
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 8352 | 1 × 8352 = 8352 |
| 2 | 4176 | 2 × 4176 = 8352 |
| 3 | 2784 | 3 × 2784 = 8352 |
| 4 | 2088 | 4 × 2088 = 8352 |
| 6 | 1392 | 6 × 1392 = 8352 |
| 8 | 1044 | 8 × 1044 = 8352 |
| 9 | 928 | 9 × 928 = 8352 |
| 12 | 696 | 12 × 696 = 8352 |
| 16 | 522 | 16 × 522 = 8352 |
| 18 | 464 | 18 × 464 = 8352 |
| 24 | 348 | 24 × 348 = 8352 |
| 29 | 288 | 29 × 288 = 8352 |
| 32 | 261 | 32 × 261 = 8352 |
| 36 | 232 | 36 × 232 = 8352 |
| 48 | 174 | 48 × 174 = 8352 |
| 58 | 144 | 58 × 144 = 8352 |
| 72 | 116 | 72 × 116 = 8352 |
| 87 | 96 | 87 × 96 = 8352 |
Questions
What are the factors of 8352?
The factors of 8352 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 32, 36, 48, 58, 72, 87, 96, 116, 144, 174, 232, 261, 288, 348, 464, 522, 696, 928, 1044, 1392, 2088, 2784, 4176, 8352. It has 36 factors.
What are the prime factors of 8352?
2, 3, 29. As a product: × × 29.
How many factors does 8352 have?
8352 has 36 factors (18 factor pairs).
What is the sum of the factors of 8352?
24570.
Is 8352 a prime number?
No. It is divisible by 2, so 8352 = 2 × 4176.