Factors of 9408

Q: What are the prime factors of 9408?

2, 3, 7. As a product: 2^6 × 3 × 7^2.

The factors of 9408 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 64, 84, 96, 98, 112, 147, 168, 192, 196, 224, 294, 336, 392, 448, 588, 672, 784, 1176, 1344, 1568, 2352, 3136, 4704, 9408. It has 42 factors.

Factors of 9408

Pick any whole number from 1 to 10,000.

9408 = 2^{6} \times 3 \times 7^{2}

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How to work it out

1
A factor of 9408 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9408 ≈ 96.99; 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.
$9408 = 2^{6} \times 3 \times 7^{2}$
4
Add all the factors: the sum is 28956. Without 9408 itself that is 19548, so 9408 is an abundant number.

LaTeX source of the formulas on this page

\[ 9408 = 2^{6} \times 3 \times 7^{2} \]

Factor pairs of 9408

Factor	Pairs with	Product
1	9408	1 × 9408 = 9408
2	4704	2 × 4704 = 9408
3	3136	3 × 3136 = 9408
4	2352	4 × 2352 = 9408
6	1568	6 × 1568 = 9408
7	1344	7 × 1344 = 9408
8	1176	8 × 1176 = 9408
12	784	12 × 784 = 9408
14	672	14 × 672 = 9408
16	588	16 × 588 = 9408
21	448	21 × 448 = 9408
24	392	24 × 392 = 9408
28	336	28 × 336 = 9408
32	294	32 × 294 = 9408
42	224	42 × 224 = 9408
48	196	48 × 196 = 9408
49	192	49 × 192 = 9408
56	168	56 × 168 = 9408
64	147	64 × 147 = 9408
84	112	84 × 112 = 9408
96	98	96 × 98 = 9408

Questions

What are the factors of 9408?

What are the prime factors of 9408?

2, 3, 7. As a product: $2^{6}$ × 3 × $7^{2}$ .

How many factors does 9408 have?

9408 has 42 factors (21 factor pairs).

What is the sum of the factors of 9408?

28956.

Is 9408 a prime number?

No. It is divisible by 2, so 9408 = 2 × 4704.

Factors of 9408

How to work it out

Factor pairs of 9408

Questions

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