Factors of 7006
The factors of 7006 are 1, 2, 31, 62, 113, 226, 3503, 7006. It has 8 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 7006 is a whole number that divides it with nothing left over. You only need to test the numbers up to √7006 ≈ 83.70; 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 + 31 + 62 + 113 + 226 + 3503 + 7006 = 10944. Without 7006 itself that is 3938, so 7006 is a deficient number.
LaTeX source of the formulas on this page
\[ 7006 = 2 \times 31 \times 113 \]
Factor pairs of 7006
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 7006 | 1 × 7006 = 7006 |
| 2 | 3503 | 2 × 3503 = 7006 |
| 31 | 226 | 31 × 226 = 7006 |
| 62 | 113 | 62 × 113 = 7006 |
Questions
What are the factors of 7006?
The factors of 7006 are 1, 2, 31, 62, 113, 226, 3503, 7006. It has 8 factors.
What are the prime factors of 7006?
2, 31, 113. As a product: 2 × 31 × 113.
How many factors does 7006 have?
7006 has 8 factors (4 factor pairs).
What is the sum of the factors of 7006?
10944.
Is 7006 a prime number?
No. It is divisible by 2, so 7006 = 2 × 3503.