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How many numbers is 1000 divisible by?

Published in Number Theory 1 min read

1000 is divisible by 16 numbers: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, and 1000.

These numbers are called the factors of 1000. A factor of a number is any number that divides evenly into that number.

To find the factors of a number, you can start by dividing the number by 1, then by 2, then by 3, and so on. If the division results in a whole number, then the number you divided by is a factor of the original number.

In the case of 1000, you can also use the prime factorization of 1000, which is 2^3 x 5^3, to find its factors. To do this, you can take all the possible combinations of the prime factors, including 1.

Examples:

  • 1000 / 2 = 500, so 2 is a factor of 1000.
  • 1000 / 5 = 200, so 5 is a factor of 1000.
  • 1000 / 125 = 8, so 125 is a factor of 1000.

By listing all the factors of 1000, we can see that there are 16 numbers that divide evenly into 1000.

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