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Factors of 864

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

Factors of 864

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    A factor of 864 is a whole number that divides it with nothing left over. You only need to test the numbers up to √864 ā‰ˆ 29.39; every one that divides gives a pair.

  2. 2

    The factor pairs are listed in the table below. Together they give 24 factors.

  3. 3

    Prime factorisation: keep dividing by the smallest prime that fits.

    864=25Ɨ33864 = 2^{5} \times 3^{3}
  4. 4

    Add all the factors: the sum is 2520. Without 864 itself that is 1656, so 864 is an abundant number.

LaTeX source of the formulas on this page
\[ 864 = 2^{5} \times 3^{3} \]

Factor pairs of 864

FactorPairs withProduct
18641 Ɨ 864 = 864
24322 Ɨ 432 = 864
32883 Ɨ 288 = 864
42164 Ɨ 216 = 864
61446 Ɨ 144 = 864
81088 Ɨ 108 = 864
9969 Ɨ 96 = 864
127212 Ɨ 72 = 864
165416 Ɨ 54 = 864
184818 Ɨ 48 = 864
243624 Ɨ 36 = 864
273227 Ɨ 32 = 864

Questions

What are the factors of 864?

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

What are the prime factors of 864?

2, 3. As a product: 252^{5} Ɨ 333^{3}.

How many factors does 864 have?

864 has 24 factors (12 factor pairs).

What is the sum of the factors of 864?

2520.

Is 864 a prime number?

No. It is divisible by 2, so 864 = 2 Ɨ 432.

Nearby numbers

More about 864

    Factors of 864: 24 factors, pairs and prime factors | WordGPT