Factors of 9248

2, 17. As a product: 2^5 × 17^2.

The factors of 9248 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 289, 544, 578, 1156, 2312, 4624, 9248. It has 18 factors.

Factors of 9248

Pick any whole number from 1 to 10,000.

9248 = 2^{5} \times 17^{2}

How to work it out

1
A factor of 9248 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9248 ≈ 96.17; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 18 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$9248 = 2^{5} \times 17^{2}$
4
Add all the factors: the sum is 19341. Without 9248 itself that is 10093, so 9248 is an abundant number.

LaTeX source of the formulas on this page

\[ 9248 = 2^{5} \times 17^{2} \]

What are the factors of 9248?

The factors of 9248 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 289, 544, 578, 1156, 2312, 4624, 9248. It has 18 factors.

What are the prime factors of 9248?

2, 17. As a product: $2^{5}$ × $17^{2}$ .

How many factors does 9248 have?

9248 has 18 factors (9 factor pairs).

What is the sum of the factors of 9248?

19341.

Is 9248 a prime number?

No. It is divisible by 2, so 9248 = 2 × 4624.