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Question

Find the prime factorization of number 1000.

Answer

The prime factorization of 1000 is:

$$ 1000 = 2\cdot2\cdot2\cdot5\cdot5\cdot5 $$

Which is the same as :

$$ 1000 = 2^{3}\cdot5^{3} $$

Explanation

Prime factorization can be nicely visualized by creating a factorization tree.

1000 can be written as 10 × 100.
  • 1000
    • 10
    • 100
10 can be written as 2 × 5.
  • 1000
    • 10
      • 5
      • 2
    • 100
100 can be written as 10 × 10.
  • 1000
    • 10
      • 5
      • 2
    • 100
      • 10
      • 10
10 can be written as 2 × 5.
  • 1000
    • 10
      • 5
      • 2
    • 100
      • 10
        • 5
        • 2
      • 10
10 can be written as 2 × 5.
  • 1000
    • 10
      • 5
      • 2
    • 100
      • 10
        • 5
        • 2
      • 10
        • 2
        • 5
The end nodes are the prime factors of the number 1000.
  • 1000
    • 10
      • 5
      • 2
    • 100
      • 10
        • 5
        • 2
      • 10
        • 2
        • 5
This page was created using
Prime factorization calculator