Factors of 3456

Q: What are the prime factors of 3456?

2, 3. As a product: 2^7 × 3^3.

The factors of 3456 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 288, 384, 432, 576, 864, 1152, 1728, 3456. It has 32 factors.

Factors of 3456

Pick any whole number from 1 to 10,000.

3456 = 2^{7} \times 3^{3}

Explain it step by step in chat Make a short video of it

How to work it out

1
A factor of 3456 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3456 ≈ 58.79; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 32 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$3456 = 2^{7} \times 3^{3}$
4
Add all the factors: the sum is 10200. Without 3456 itself that is 6744, so 3456 is an abundant number.

LaTeX source of the formulas on this page

\[ 3456 = 2^{7} \times 3^{3} \]

Factor pairs of 3456

Factor	Pairs with	Product
1	3456	1 × 3456 = 3456
2	1728	2 × 1728 = 3456
3	1152	3 × 1152 = 3456
4	864	4 × 864 = 3456
6	576	6 × 576 = 3456
8	432	8 × 432 = 3456
9	384	9 × 384 = 3456
12	288	12 × 288 = 3456
16	216	16 × 216 = 3456
18	192	18 × 192 = 3456
24	144	24 × 144 = 3456
27	128	27 × 128 = 3456
32	108	32 × 108 = 3456
36	96	36 × 96 = 3456
48	72	48 × 72 = 3456
54	64	54 × 64 = 3456

Questions

What are the factors of 3456?

The factors of 3456 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 288, 384, 432, 576, 864, 1152, 1728, 3456. It has 32 factors.

What are the prime factors of 3456?

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

How many factors does 3456 have?

3456 has 32 factors (16 factor pairs).

What is the sum of the factors of 3456?

10200.

Is 3456 a prime number?

No. It is divisible by 2, so 3456 = 2 × 1728.

Factors of 3456

How to work it out

Factor pairs of 3456

Questions

Nearby numbers

More about 3456