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Find the prime factorization of number 50000.

Answer

The prime factorization of 50000 is:

$$ 50000 = 2\cdot2\cdot2\cdot2\cdot5\cdot5\cdot5\cdot5\cdot5 $$

Which is the same as :

$$ 50000 = 2^{4}\cdot5^{5} $$

Explanation

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

50000 can be written as 10 × 5000.
  • 50000
    • 10
    • 5000
10 can be written as 2 × 5.
  • 50000
    • 10
      • 5
      • 2
    • 5000
5000 can be written as 10 × 500.
  • 50000
    • 10
      • 5
      • 2
    • 5000
      • 10
      • 500
10 can be written as 2 × 5.
  • 50000
    • 10
      • 5
      • 2
    • 5000
      • 10
        • 5
        • 2
      • 500
500 can be written as 10 × 50.
  • 50000
    • 10
      • 5
      • 2
    • 5000
      • 10
        • 5
        • 2
      • 500
        • 10
        • 50
10 can be written as 2 × 5.
  • 50000
    • 10
      • 5
      • 2
    • 5000
      • 10
        • 5
        • 2
      • 500
        • 10
          • 5
          • 2
        • 50
50 can be written as 10 × 5.
  • 50000
    • 10
      • 5
      • 2
    • 5000
      • 10
        • 5
        • 2
      • 500
        • 10
          • 5
          • 2
        • 50
          • 10
          • 5
10 can be written as 2 × 5.
  • 50000
    • 10
      • 5
      • 2
    • 5000
      • 10
        • 5
        • 2
      • 500
        • 10
          • 5
          • 2
        • 50
          • 10
            • 5
            • 2
          • 5
The end nodes are the prime factors of the number 50000.
  • 50000
    • 10
      • 5
      • 2
    • 5000
      • 10
        • 5
        • 2
      • 500
        • 10
          • 5
          • 2
        • 50
          • 10
            • 5
            • 2
          • 5
This page was created using
Prime factorization calculator