Math Calculators, Lessons and Formulas

It is time to solve your math problem

mathportal.org

back to index

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