Factors of 9776
The factors of 9776 are 1, 2, 4, 8, 13, 16, 26, 47, 52, 94, 104, 188, 208, 376, 611, 752, 1222, 2444, 4888, 9776. It has 20 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9776 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9776 ≈ 98.87; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 20 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 20832. Without 9776 itself that is 11056, so 9776 is an abundant number.
LaTeX source of the formulas on this page
\[ 9776 = 2^{4} \times 13 \times 47 \]Factor pairs of 9776
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9776 | 1 × 9776 = 9776 |
| 2 | 4888 | 2 × 4888 = 9776 |
| 4 | 2444 | 4 × 2444 = 9776 |
| 8 | 1222 | 8 × 1222 = 9776 |
| 13 | 752 | 13 × 752 = 9776 |
| 16 | 611 | 16 × 611 = 9776 |
| 26 | 376 | 26 × 376 = 9776 |
| 47 | 208 | 47 × 208 = 9776 |
| 52 | 188 | 52 × 188 = 9776 |
| 94 | 104 | 94 × 104 = 9776 |
Questions
What are the factors of 9776?
The factors of 9776 are 1, 2, 4, 8, 13, 16, 26, 47, 52, 94, 104, 188, 208, 376, 611, 752, 1222, 2444, 4888, 9776. It has 20 factors.
What are the prime factors of 9776?
2, 13, 47. As a product: × 13 × 47.
How many factors does 9776 have?
9776 has 20 factors (10 factor pairs).
What is the sum of the factors of 9776?
20832.
Is 9776 a prime number?
No. It is divisible by 2, so 9776 = 2 × 4888.