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Factors of 1000

The factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000. It has 16 factors.

Factors of 1000

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    A factor of 1000 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1000 ā‰ˆ 31.62; every one that divides gives a pair.

  2. 2

    The factor pairs are listed in the table below. Together they give 16 factors.

  3. 3

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

    1000=23Ɨ531000 = 2^{3} \times 5^{3}
  4. 4

    Add all the factors: the sum is 2340. Without 1000 itself that is 1340, so 1000 is an abundant number.

LaTeX source of the formulas on this page
\[ 1000 = 2^{3} \times 5^{3} \]

Factor pairs of 1000

FactorPairs withProduct
110001 Ɨ 1000 = 1000
25002 Ɨ 500 = 1000
42504 Ɨ 250 = 1000
52005 Ɨ 200 = 1000
81258 Ɨ 125 = 1000
1010010 Ɨ 100 = 1000
205020 Ɨ 50 = 1000
254025 Ɨ 40 = 1000

Questions

What are the factors of 1000?

The factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000. It has 16 factors.

What are the prime factors of 1000?

2, 5. As a product: 232^{3} Ɨ 535^{3}.

How many factors does 1000 have?

1000 has 16 factors (8 factor pairs).

What is the sum of the factors of 1000?

2340.

Is 1000 a prime number?

No. It is divisible by 2, so 1000 = 2 Ɨ 500.

Nearby numbers

More about 1000

    Factors of 1000: 16 factors, pairs and prime factors | WordGPT