Factors of 7488

Q: What are the prime factors of 7488?

2, 3, 13. As a product: 2^6 × 3^2 × 13.

The factors of 7488 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 64, 72, 78, 96, 104, 117, 144, 156, 192, 208, 234, 288, 312, 416, 468, 576, 624, 832, 936, 1248, 1872, 2496, 3744, 7488. It has 42 factors.

Factors of 7488

Pick any whole number from 1 to 10,000.

7488 = 2^{6} \times 3^{2} \times 13

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

How to work it out

1
A factor of 7488 is a whole number that divides it with nothing left over. You only need to test the numbers up to √7488 ≈ 86.53; 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.
$7488 = 2^{6} \times 3^{2} \times 13$
4
Add all the factors: the sum is 23114. Without 7488 itself that is 15626, so 7488 is an abundant number.

LaTeX source of the formulas on this page

\[ 7488 = 2^{6} \times 3^{2} \times 13 \]

Factor pairs of 7488

Factor	Pairs with	Product
1	7488	1 × 7488 = 7488
2	3744	2 × 3744 = 7488
3	2496	3 × 2496 = 7488
4	1872	4 × 1872 = 7488
6	1248	6 × 1248 = 7488
8	936	8 × 936 = 7488
9	832	9 × 832 = 7488
12	624	12 × 624 = 7488
13	576	13 × 576 = 7488
16	468	16 × 468 = 7488
18	416	18 × 416 = 7488
24	312	24 × 312 = 7488
26	288	26 × 288 = 7488
32	234	32 × 234 = 7488
36	208	36 × 208 = 7488
39	192	39 × 192 = 7488
48	156	48 × 156 = 7488
52	144	52 × 144 = 7488
64	117	64 × 117 = 7488
72	104	72 × 104 = 7488
78	96	78 × 96 = 7488

Questions

What are the factors of 7488?

What are the prime factors of 7488?

2, 3, 13. As a product: $2^{6}$ × $3^{2}$ × 13.

How many factors does 7488 have?

7488 has 42 factors (21 factor pairs).

What is the sum of the factors of 7488?

23114.

Is 7488 a prime number?

No. It is divisible by 2, so 7488 = 2 × 3744.

Factors of 7488

How to work it out

Factor pairs of 7488

Questions

Nearby numbers

More about 7488