Factors of 9920
The factors of 9920 are 1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 64, 80, 124, 155, 160, 248, 310, 320, 496, 620, 992, 1240, 1984, 2480, 4960, 9920. It has 28 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9920 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9920 ≈ 99.60; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 28 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 24384. Without 9920 itself that is 14464, so 9920 is an abundant number.
LaTeX source of the formulas on this page
\[ 9920 = 2^{6} \times 5 \times 31 \]Factor pairs of 9920
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9920 | 1 × 9920 = 9920 |
| 2 | 4960 | 2 × 4960 = 9920 |
| 4 | 2480 | 4 × 2480 = 9920 |
| 5 | 1984 | 5 × 1984 = 9920 |
| 8 | 1240 | 8 × 1240 = 9920 |
| 10 | 992 | 10 × 992 = 9920 |
| 16 | 620 | 16 × 620 = 9920 |
| 20 | 496 | 20 × 496 = 9920 |
| 31 | 320 | 31 × 320 = 9920 |
| 32 | 310 | 32 × 310 = 9920 |
| 40 | 248 | 40 × 248 = 9920 |
| 62 | 160 | 62 × 160 = 9920 |
| 64 | 155 | 64 × 155 = 9920 |
| 80 | 124 | 80 × 124 = 9920 |
Questions
What are the factors of 9920?
The factors of 9920 are 1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 64, 80, 124, 155, 160, 248, 310, 320, 496, 620, 992, 1240, 1984, 2480, 4960, 9920. It has 28 factors.
What are the prime factors of 9920?
2, 5, 31. As a product: × 5 × 31.
How many factors does 9920 have?
9920 has 28 factors (14 factor pairs).
What is the sum of the factors of 9920?
24384.
Is 9920 a prime number?
No. It is divisible by 2, so 9920 = 2 × 4960.