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Question

Find the prime factorization of number 840000.

Answer

The prime factorization of 840000 is:

Which is the same as :

Explanation

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

840000 can be written as 10 × 84000.
  • 840000
    • 10
    • 84000
10 can be written as 2 × 5.
  • 840000
    • 10
      • 5
      • 2
    • 84000
84000 can be written as 10 × 8400.
  • 840000
    • 10
      • 5
      • 2
    • 84000
      • 10
      • 8400
10 can be written as 2 × 5.
  • 840000
    • 10
      • 5
      • 2
    • 84000
      • 10
        • 5
        • 2
      • 8400
8400 can be written as 10 × 840.
  • 840000
    • 10
      • 5
      • 2
    • 84000
      • 10
        • 5
        • 2
      • 8400
        • 10
        • 840
10 can be written as 2 × 5.
  • 840000
    • 10
      • 5
      • 2
    • 84000
      • 10
        • 5
        • 2
      • 8400
        • 10
          • 5
          • 2
        • 840
840 can be written as 10 × 84.
  • 840000
    • 10
      • 5
      • 2
    • 84000
      • 10
        • 5
        • 2
      • 8400
        • 10
          • 5
          • 2
        • 840
          • 10
          • 84
10 can be written as 2 × 5.
  • 840000
    • 10
      • 5
      • 2
    • 84000
      • 10
        • 5
        • 2
      • 8400
        • 10
          • 5
          • 2
        • 840
          • 10
            • 5
            • 2
          • 84
84 can be written as 2 × 42.
  • 840000
    • 10
      • 5
      • 2
    • 84000
      • 10
        • 5
        • 2
      • 8400
        • 10
          • 5
          • 2
        • 840
          • 10
            • 5
            • 2
          • 84
            • 2
            • 42
42 can be written as 2 × 21.
  • 840000
    • 10
      • 5
      • 2
    • 84000
      • 10
        • 5
        • 2
      • 8400
        • 10
          • 5
          • 2
        • 840
          • 10
            • 5
            • 2
          • 84
            • 2
            • 42
              • 21
              • 2
21 can be written as 3 × 7.
  • 840000
    • 10
      • 5
      • 2
    • 84000
      • 10
        • 5
        • 2
      • 8400
        • 10
          • 5
          • 2
        • 840
          • 10
            • 5
            • 2
          • 84
            • 2
            • 42
              • 21
                • 3
                • 7
              • 2
The end nodes are the prime factors of the number 840000.
  • 840000
    • 10
      • 5
      • 2
    • 84000
      • 10
        • 5
        • 2
      • 8400
        • 10
          • 5
          • 2
        • 840
          • 10
            • 5
            • 2
          • 84
            • 2
            • 42
              • 21
                • 3
                • 7
              • 2
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