Factors of 9975
The factors of 9975 are 1, 3, 5, 7, 15, 19, 21, 25, 35, 57, 75, 95, 105, 133, 175, 285, 399, 475, 525, 665, 1425, 1995, 3325, 9975. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9975 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9975 ≈ 99.87; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 24 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 19840. Without 9975 itself that is 9865, so 9975 is a deficient number.
LaTeX source of the formulas on this page
\[ 9975 = 3 \times 5^{2} \times 7 \times 19 \]Factor pairs of 9975
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9975 | 1 × 9975 = 9975 |
| 3 | 3325 | 3 × 3325 = 9975 |
| 5 | 1995 | 5 × 1995 = 9975 |
| 7 | 1425 | 7 × 1425 = 9975 |
| 15 | 665 | 15 × 665 = 9975 |
| 19 | 525 | 19 × 525 = 9975 |
| 21 | 475 | 21 × 475 = 9975 |
| 25 | 399 | 25 × 399 = 9975 |
| 35 | 285 | 35 × 285 = 9975 |
| 57 | 175 | 57 × 175 = 9975 |
| 75 | 133 | 75 × 133 = 9975 |
| 95 | 105 | 95 × 105 = 9975 |
Questions
What are the factors of 9975?
The factors of 9975 are 1, 3, 5, 7, 15, 19, 21, 25, 35, 57, 75, 95, 105, 133, 175, 285, 399, 475, 525, 665, 1425, 1995, 3325, 9975. It has 24 factors.
What are the prime factors of 9975?
3, 5, 7, 19. As a product: 3 × × 7 × 19.
How many factors does 9975 have?
9975 has 24 factors (12 factor pairs).
What is the sum of the factors of 9975?
19840.
Is 9975 a prime number?
No. It is divisible by 3, so 9975 = 3 × 3325.