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Factors of 2007

The factors of 2007 are 1, 3, 9, 223, 669, 2007. It has 6 factors.

Factors of 2007

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    A factor of 2007 is a whole number that divides it with nothing left over. You only need to test the numbers up to √2007 ā‰ˆ 44.80; every one that divides gives a pair.

  2. 2

    The factor pairs are listed in the table below. Together they give 6 factors.

  3. 3

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

    2007=32Ɨ2232007 = 3^{2} \times 223
  4. 4

    Add all the factors: 1 + 3 + 9 + 223 + 669 + 2007 = 2912. Without 2007 itself that is 905, so 2007 is a deficient number.

LaTeX source of the formulas on this page
\[ 2007 = 3^{2} \times 223 \]

Factor pairs of 2007

FactorPairs withProduct
120071 Ɨ 2007 = 2007
36693 Ɨ 669 = 2007
92239 Ɨ 223 = 2007

Questions

What are the factors of 2007?

The factors of 2007 are 1, 3, 9, 223, 669, 2007. It has 6 factors.

What are the prime factors of 2007?

3, 223. As a product: 323^{2} Ɨ 223.

How many factors does 2007 have?

2007 has 6 factors (3 factor pairs).

What is the sum of the factors of 2007?

2912.

Is 2007 a prime number?

No. It is divisible by 3, so 2007 = 3 Ɨ 669.

Nearby numbers

More about 2007

    Factors of 2007: 6 factors, pairs and prime factors | WordGPT