Factors of 3993

3, 11. As a product: 3 × 11^3.

The factors of 3993 are 1, 3, 11, 33, 121, 363, 1331, 3993. It has 8 factors.

Factors of 3993

Pick any whole number from 1 to 10,000.

3993 = 3 \times 11^{3}

How to work it out

1
A factor of 3993 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3993 ≈ 63.19; 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.
$3993 = 3 \times 11^{3}$
4
Add all the factors: 1 + 3 + 11 + 33 + 121 + 363 + 1331 + 3993 = 5856. Without 3993 itself that is 1863, so 3993 is a deficient number.

LaTeX source of the formulas on this page

\[ 3993 = 3 \times 11^{3} \]

What are the factors of 3993?

The factors of 3993 are 1, 3, 11, 33, 121, 363, 1331, 3993. It has 8 factors.

What are the prime factors of 3993?

3, 11. As a product: 3 × $11^{3}$ .

How many factors does 3993 have?

3993 has 8 factors (4 factor pairs).

What is the sum of the factors of 3993?

5856.

Is 3993 a prime number?

No. It is divisible by 3, so 3993 = 3 × 1331.