Factors of 2352
The factors of 2352 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 49, 56, 84, 98, 112, 147, 168, 196, 294, 336, 392, 588, 784, 1176, 2352. It has 30 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 2352 is a whole number that divides it with nothing left over. You only need to test the numbers up to √2352 ≈ 48.50; 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 7068. Without 2352 itself that is 4716, so 2352 is an abundant number.
LaTeX source of the formulas on this page
\[ 2352 = 2^{4} \times 3 \times 7^{2} \]Factor pairs of 2352
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 2352 | 1 × 2352 = 2352 |
| 2 | 1176 | 2 × 1176 = 2352 |
| 3 | 784 | 3 × 784 = 2352 |
| 4 | 588 | 4 × 588 = 2352 |
| 6 | 392 | 6 × 392 = 2352 |
| 7 | 336 | 7 × 336 = 2352 |
| 8 | 294 | 8 × 294 = 2352 |
| 12 | 196 | 12 × 196 = 2352 |
| 14 | 168 | 14 × 168 = 2352 |
| 16 | 147 | 16 × 147 = 2352 |
| 21 | 112 | 21 × 112 = 2352 |
| 24 | 98 | 24 × 98 = 2352 |
| 28 | 84 | 28 × 84 = 2352 |
| 42 | 56 | 42 × 56 = 2352 |
| 48 | 49 | 48 × 49 = 2352 |
Questions
What are the factors of 2352?
The factors of 2352 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 49, 56, 84, 98, 112, 147, 168, 196, 294, 336, 392, 588, 784, 1176, 2352. It has 30 factors.
What are the prime factors of 2352?
2, 3, 7. As a product: × 3 × .
How many factors does 2352 have?
2352 has 30 factors (15 factor pairs).
What is the sum of the factors of 2352?
7068.
Is 2352 a prime number?
No. It is divisible by 2, so 2352 = 2 × 1176.