Factors of 9672
The factors of 9672 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 31, 39, 52, 62, 78, 93, 104, 124, 156, 186, 248, 312, 372, 403, 744, 806, 1209, 1612, 2418, 3224, 4836, 9672. It has 32 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9672 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9672 ≈ 98.35; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 32 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 26880. Without 9672 itself that is 17208, so 9672 is an abundant number.
LaTeX source of the formulas on this page
\[ 9672 = 2^{3} \times 3 \times 13 \times 31 \]Factor pairs of 9672
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9672 | 1 × 9672 = 9672 |
| 2 | 4836 | 2 × 4836 = 9672 |
| 3 | 3224 | 3 × 3224 = 9672 |
| 4 | 2418 | 4 × 2418 = 9672 |
| 6 | 1612 | 6 × 1612 = 9672 |
| 8 | 1209 | 8 × 1209 = 9672 |
| 12 | 806 | 12 × 806 = 9672 |
| 13 | 744 | 13 × 744 = 9672 |
| 24 | 403 | 24 × 403 = 9672 |
| 26 | 372 | 26 × 372 = 9672 |
| 31 | 312 | 31 × 312 = 9672 |
| 39 | 248 | 39 × 248 = 9672 |
| 52 | 186 | 52 × 186 = 9672 |
| 62 | 156 | 62 × 156 = 9672 |
| 78 | 124 | 78 × 124 = 9672 |
| 93 | 104 | 93 × 104 = 9672 |
Questions
What are the factors of 9672?
The factors of 9672 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 31, 39, 52, 62, 78, 93, 104, 124, 156, 186, 248, 312, 372, 403, 744, 806, 1209, 1612, 2418, 3224, 4836, 9672. It has 32 factors.
What are the prime factors of 9672?
2, 3, 13, 31. As a product: × 3 × 13 × 31.
How many factors does 9672 have?
9672 has 32 factors (16 factor pairs).
What is the sum of the factors of 9672?
26880.
Is 9672 a prime number?
No. It is divisible by 2, so 9672 = 2 × 4836.