Factors of 9792

Q: What are the prime factors of 9792?

2, 3, 17. As a product: 2^6 × 3^2 × 17.

The factors of 9792 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 64, 68, 72, 96, 102, 136, 144, 153, 192, 204, 272, 288, 306, 408, 544, 576, 612, 816, 1088, 1224, 1632, 2448, 3264, 4896, 9792. It has 42 factors.

Factors of 9792

Pick any whole number from 1 to 10,000.

9792 = 2^{6} \times 3^{2} \times 17

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How to work it out

1
A factor of 9792 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9792 ≈ 98.95; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 42 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$9792 = 2^{6} \times 3^{2} \times 17$
4
Add all the factors: the sum is 29718. Without 9792 itself that is 19926, so 9792 is an abundant number.

LaTeX source of the formulas on this page

\[ 9792 = 2^{6} \times 3^{2} \times 17 \]

Factor pairs of 9792

Factor	Pairs with	Product
1	9792	1 × 9792 = 9792
2	4896	2 × 4896 = 9792
3	3264	3 × 3264 = 9792
4	2448	4 × 2448 = 9792
6	1632	6 × 1632 = 9792
8	1224	8 × 1224 = 9792
9	1088	9 × 1088 = 9792
12	816	12 × 816 = 9792
16	612	16 × 612 = 9792
17	576	17 × 576 = 9792
18	544	18 × 544 = 9792
24	408	24 × 408 = 9792
32	306	32 × 306 = 9792
34	288	34 × 288 = 9792
36	272	36 × 272 = 9792
48	204	48 × 204 = 9792
51	192	51 × 192 = 9792
64	153	64 × 153 = 9792
68	144	68 × 144 = 9792
72	136	72 × 136 = 9792
96	102	96 × 102 = 9792

Questions

What are the factors of 9792?

What are the prime factors of 9792?

2, 3, 17. As a product: $2^{6}$ × $3^{2}$ × 17.

How many factors does 9792 have?

9792 has 42 factors (21 factor pairs).

What is the sum of the factors of 9792?

29718.

Is 9792 a prime number?

No. It is divisible by 2, so 9792 = 2 × 4896.

Factors of 9792

How to work it out

Factor pairs of 9792

Questions

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