Factors of 2997
The factors of 2997 are 1, 3, 9, 27, 37, 81, 111, 333, 999, 2997. It has 10 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 2997 is a whole number that divides it with nothing left over. You only need to test the numbers up to ā2997 ā 54.74; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 10 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 3 + 9 + 27 + 37 + 81 + 111 + 333 + 999 + 2997 = 4598. Without 2997 itself that is 1601, so 2997 is a deficient number.
LaTeX source of the formulas on this page
\[ 2997 = 3^{4} \times 37 \]Factor pairs of 2997
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 2997 | 1 Ć 2997 = 2997 |
| 3 | 999 | 3 Ć 999 = 2997 |
| 9 | 333 | 9 Ć 333 = 2997 |
| 27 | 111 | 27 Ć 111 = 2997 |
| 37 | 81 | 37 Ć 81 = 2997 |
Questions
What are the factors of 2997?
The factors of 2997 are 1, 3, 9, 27, 37, 81, 111, 333, 999, 2997. It has 10 factors.
What are the prime factors of 2997?
3, 37. As a product: Ć 37.
How many factors does 2997 have?
2997 has 10 factors (5 factor pairs).
What is the sum of the factors of 2997?
4598.
Is 2997 a prime number?
No. It is divisible by 3, so 2997 = 3 Ć 999.