Factors of 9002
The factors of 9002 are 1, 2, 7, 14, 643, 1286, 4501, 9002. It has 8 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9002 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9002 ≈ 94.88; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 8 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 2 + 7 + 14 + 643 + 1286 + 4501 + 9002 = 15456. Without 9002 itself that is 6454, so 9002 is a deficient number.
LaTeX source of the formulas on this page
\[ 9002 = 2 \times 7 \times 643 \]
Factor pairs of 9002
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9002 | 1 × 9002 = 9002 |
| 2 | 4501 | 2 × 4501 = 9002 |
| 7 | 1286 | 7 × 1286 = 9002 |
| 14 | 643 | 14 × 643 = 9002 |
Questions
What are the factors of 9002?
The factors of 9002 are 1, 2, 7, 14, 643, 1286, 4501, 9002. It has 8 factors.
What are the prime factors of 9002?
2, 7, 643. As a product: 2 × 7 × 643.
How many factors does 9002 have?
9002 has 8 factors (4 factor pairs).
What is the sum of the factors of 9002?
15456.
Is 9002 a prime number?
No. It is divisible by 2, so 9002 = 2 × 4501.