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Factors of 1089

The factors of 1089 are 1, 3, 9, 11, 33, 99, 121, 363, 1089. It has 9 factors.

Factors of 1089

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    A factor of 1089 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1089 ā‰ˆ 33.00; every one that divides gives a pair.

  2. 2

    The factor pairs are listed in the table below. Together they give 9 factors.

  3. 3

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

    1089=32Ɨ1121089 = 3^{2} \times 11^{2}
  4. 4

    Add all the factors: 1 + 3 + 9 + 11 + 33 + 99 + 121 + 363 + 1089 = 1729. Without 1089 itself that is 640, so 1089 is a deficient number.

LaTeX source of the formulas on this page
\[ 1089 = 3^{2} \times 11^{2} \]

Factor pairs of 1089

FactorPairs withProduct
110891 Ɨ 1089 = 1089
33633 Ɨ 363 = 1089
91219 Ɨ 121 = 1089
119911 Ɨ 99 = 1089
333333 Ɨ 33 = 1089

Questions

What are the factors of 1089?

The factors of 1089 are 1, 3, 9, 11, 33, 99, 121, 363, 1089. It has 9 factors.

What are the prime factors of 1089?

3, 11. As a product: 323^{2} Ɨ 11211^{2}.

How many factors does 1089 have?

1089 has 9 factors (5 factor pairs, one of them 33 Ɨ 33).

What is the sum of the factors of 1089?

1729.

Is 1089 a prime number?

No. It is divisible by 3, so 1089 = 3 Ɨ 363.

Nearby numbers

More about 1089

    Factors of 1089: 9 factors, pairs and prime factors | WordGPT