Factors of 7889

7, 23. As a product: 7^3 × 23.

The factors of 7889 are 1, 7, 23, 49, 161, 343, 1127, 7889. It has 8 factors.

Factors of 7889

Pick any whole number from 1 to 10,000.

7889 = 7^{3} \times 23

How to work it out

1
A factor of 7889 is a whole number that divides it with nothing left over. You only need to test the numbers up to √7889 ≈ 88.82; 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.
$7889 = 7^{3} \times 23$
4
Add all the factors: 1 + 7 + 23 + 49 + 161 + 343 + 1127 + 7889 = 9600. Without 7889 itself that is 1711, so 7889 is a deficient number.

LaTeX source of the formulas on this page

\[ 7889 = 7^{3} \times 23 \]

What are the factors of 7889?

The factors of 7889 are 1, 7, 23, 49, 161, 343, 1127, 7889. It has 8 factors.

What are the prime factors of 7889?

7, 23. As a product: $7^{3}$ × 23.

How many factors does 7889 have?

7889 has 8 factors (4 factor pairs).

What is the sum of the factors of 7889?

9600.

Is 7889 a prime number?

No. It is divisible by 7, so 7889 = 7 × 1127.