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Question

Find the prime factorization of number 51000.

Answer

The prime factorization of 51000 is:

$$ 51000 = 2\cdot2\cdot2\cdot3\cdot5\cdot5\cdot5\cdot17 $$

Which is the same as :

$$ 51000 = 2^{3}\cdot3\cdot5^{3}\cdot17 $$

Explanation

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

51000 can be written as 10 × 5100.
  • 51000
    • 10
    • 5100
10 can be written as 2 × 5.
  • 51000
    • 10
      • 5
      • 2
    • 5100
5100 can be written as 10 × 510.
  • 51000
    • 10
      • 5
      • 2
    • 5100
      • 10
      • 510
10 can be written as 2 × 5.
  • 51000
    • 10
      • 5
      • 2
    • 5100
      • 10
        • 5
        • 2
      • 510
510 can be written as 10 × 51.
  • 51000
    • 10
      • 5
      • 2
    • 5100
      • 10
        • 5
        • 2
      • 510
        • 10
        • 51
10 can be written as 2 × 5.
  • 51000
    • 10
      • 5
      • 2
    • 5100
      • 10
        • 5
        • 2
      • 510
        • 10
          • 5
          • 2
        • 51
51 can be written as 3 × 17.
  • 51000
    • 10
      • 5
      • 2
    • 5100
      • 10
        • 5
        • 2
      • 510
        • 10
          • 5
          • 2
        • 51
          • 3
          • 17
The end nodes are the prime factors of the number 51000.
  • 51000
    • 10
      • 5
      • 2
    • 5100
      • 10
        • 5
        • 2
      • 510
        • 10
          • 5
          • 2
        • 51
          • 3
          • 17
This page was created using
Prime factorization calculator