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Question

Find the prime factorization of number 176400.

Answer

The prime factorization of 176400 is:

Which is the same as :

Explanation

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

176400 can be written as 10 × 17640.
  • 176400
    • 10
    • 17640
10 can be written as 2 × 5.
  • 176400
    • 10
      • 5
      • 2
    • 17640
17640 can be written as 10 × 1764.
  • 176400
    • 10
      • 5
      • 2
    • 17640
      • 10
      • 1764
10 can be written as 2 × 5.
  • 176400
    • 10
      • 5
      • 2
    • 17640
      • 10
        • 5
        • 2
      • 1764
1764 can be written as 2 × 882.
  • 176400
    • 10
      • 5
      • 2
    • 17640
      • 10
        • 5
        • 2
      • 1764
        • 2
        • 882
882 can be written as 2 × 441.
  • 176400
    • 10
      • 5
      • 2
    • 17640
      • 10
        • 5
        • 2
      • 1764
        • 2
        • 882
          • 441
          • 2
441 can be written as 3 × 147.
  • 176400
    • 10
      • 5
      • 2
    • 17640
      • 10
        • 5
        • 2
      • 1764
        • 2
        • 882
          • 441
            • 3
            • 147
          • 2
147 can be written as 3 × 49.
  • 176400
    • 10
      • 5
      • 2
    • 17640
      • 10
        • 5
        • 2
      • 1764
        • 2
        • 882
          • 441
            • 3
            • 147
              • 49
              • 3
          • 2
49 can be written as 7 × 7.
  • 176400
    • 10
      • 5
      • 2
    • 17640
      • 10
        • 5
        • 2
      • 1764
        • 2
        • 882
          • 441
            • 3
            • 147
              • 49
                • 7
                • 7
              • 3
          • 2
The end nodes are the prime factors of the number 176400.
  • 176400
    • 10
      • 5
      • 2
    • 17640
      • 10
        • 5
        • 2
      • 1764
        • 2
        • 882
          • 441
            • 3
            • 147
              • 49
                • 7
                • 7
              • 3
          • 2
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