Factors of 3997

The factors of 3997 are 1, 7, 571, 3997. It has 4 factors.

Factors of 3997

Pick any whole number from 1 to 10,000.

3997 = 7 \times 571

How to work it out

1
A factor of 3997 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3997 ≈ 63.22; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 4 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$3997 = 7 \times 571$
4
Add all the factors: 1 + 7 + 571 + 3997 = 4576. Without 3997 itself that is 579, so 3997 is a deficient number.

LaTeX source of the formulas on this page

\[ 3997 = 7 \times 571 \]

Factor	Pairs with	Product
1	3997	1 × 3997 = 3997
7	571	7 × 571 = 3997

What are the factors of 3997?

The factors of 3997 are 1, 7, 571, 3997. It has 4 factors.

What are the prime factors of 3997?

7, 571. As a product: 7 × 571.

How many factors does 3997 have?

3997 has 4 factors (2 factor pairs).

What is the sum of the factors of 3997?

4576.

Is 3997 a prime number?

No. It is divisible by 7, so 3997 = 7 × 571.