Factors of 7776

Q: What are the prime factors of 7776?

2, 3. As a product: 2^5 × 3^5.

The factors of 7776 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 243, 288, 324, 432, 486, 648, 864, 972, 1296, 1944, 2592, 3888, 7776. It has 36 factors.

Factors of 7776

Pick any whole number from 1 to 10,000.

7776 = 2^{5} \times 3^{5}

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How to work it out

1
A factor of 7776 is a whole number that divides it with nothing left over. You only need to test the numbers up to √7776 ≈ 88.18; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 36 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$7776 = 2^{5} \times 3^{5}$
4
Add all the factors: the sum is 22932. Without 7776 itself that is 15156, so 7776 is an abundant number.

LaTeX source of the formulas on this page

\[ 7776 = 2^{5} \times 3^{5} \]

Factor pairs of 7776

Factor	Pairs with	Product
1	7776	1 × 7776 = 7776
2	3888	2 × 3888 = 7776
3	2592	3 × 2592 = 7776
4	1944	4 × 1944 = 7776
6	1296	6 × 1296 = 7776
8	972	8 × 972 = 7776
9	864	9 × 864 = 7776
12	648	12 × 648 = 7776
16	486	16 × 486 = 7776
18	432	18 × 432 = 7776
24	324	24 × 324 = 7776
27	288	27 × 288 = 7776
32	243	32 × 243 = 7776
36	216	36 × 216 = 7776
48	162	48 × 162 = 7776
54	144	54 × 144 = 7776
72	108	72 × 108 = 7776
81	96	81 × 96 = 7776

Questions

What are the factors of 7776?

What are the prime factors of 7776?

2, 3. As a product: $2^{5}$ × $3^{5}$ .

How many factors does 7776 have?

7776 has 36 factors (18 factor pairs).

What is the sum of the factors of 7776?

22932.

Is 7776 a prime number?

No. It is divisible by 2, so 7776 = 2 × 3888.

Factors of 7776

How to work it out

Factor pairs of 7776

Questions

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