Factors of 9947

7, 29. As a product: 7^3 × 29.

The factors of 9947 are 1, 7, 29, 49, 203, 343, 1421, 9947. It has 8 factors.

Factors of 9947

Pick any whole number from 1 to 10,000.

9947 = 7^{3} \times 29

How to work it out

1
A factor of 9947 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9947 ≈ 99.73; 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.
$9947 = 7^{3} \times 29$
4
Add all the factors: 1 + 7 + 29 + 49 + 203 + 343 + 1421 + 9947 = 12000. Without 9947 itself that is 2053, so 9947 is a deficient number.

LaTeX source of the formulas on this page

\[ 9947 = 7^{3} \times 29 \]

What are the factors of 9947?

The factors of 9947 are 1, 7, 29, 49, 203, 343, 1421, 9947. It has 8 factors.

What are the prime factors of 9947?

7, 29. As a product: $7^{3}$ × 29.

How many factors does 9947 have?

9947 has 8 factors (4 factor pairs).

What is the sum of the factors of 9947?

12000.

Is 9947 a prime number?

No. It is divisible by 7, so 9947 = 7 × 1421.