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Question

Find the prime factorization of number 343343000.

Answer

The prime factorization of 343343000 is:

Which is the same as :

Explanation

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

343343000 can be written as 10 × 34334300.
  • 343343000
    • 10
    • 34334300
10 can be written as 2 × 5.
  • 343343000
    • 10
      • 5
      • 2
    • 34334300
34334300 can be written as 10 × 3433430.
  • 343343000
    • 10
      • 5
      • 2
    • 34334300
      • 10
      • 3433430
10 can be written as 2 × 5.
  • 343343000
    • 10
      • 5
      • 2
    • 34334300
      • 10
        • 5
        • 2
      • 3433430
3433430 can be written as 10 × 343343.
  • 343343000
    • 10
      • 5
      • 2
    • 34334300
      • 10
        • 5
        • 2
      • 3433430
        • 10
        • 343343
10 can be written as 2 × 5.
  • 343343000
    • 10
      • 5
      • 2
    • 34334300
      • 10
        • 5
        • 2
      • 3433430
        • 10
          • 5
          • 2
        • 343343
343343 can be written as 7 × 49049.
  • 343343000
    • 10
      • 5
      • 2
    • 34334300
      • 10
        • 5
        • 2
      • 3433430
        • 10
          • 5
          • 2
        • 343343
          • 7
          • 49049
49049 can be written as 7 × 7007.
  • 343343000
    • 10
      • 5
      • 2
    • 34334300
      • 10
        • 5
        • 2
      • 3433430
        • 10
          • 5
          • 2
        • 343343
          • 7
          • 49049
            • 7007
            • 7
7007 can be written as 7 × 1001.
  • 343343000
    • 10
      • 5
      • 2
    • 34334300
      • 10
        • 5
        • 2
      • 3433430
        • 10
          • 5
          • 2
        • 343343
          • 7
          • 49049
            • 7007
              • 7
              • 1001
            • 7
1001 can be written as 7 × 143.
  • 343343000
    • 10
      • 5
      • 2
    • 34334300
      • 10
        • 5
        • 2
      • 3433430
        • 10
          • 5
          • 2
        • 343343
          • 7
          • 49049
            • 7007
              • 7
              • 1001
                • 143
                • 7
            • 7
143 can be written as 11 × 13.
  • 343343000
    • 10
      • 5
      • 2
    • 34334300
      • 10
        • 5
        • 2
      • 3433430
        • 10
          • 5
          • 2
        • 343343
          • 7
          • 49049
            • 7007
              • 7
              • 1001
                • 143
                  • 11
                  • 13
                • 7
            • 7
The end nodes are the prime factors of the number 343343000.
  • 343343000
    • 10
      • 5
      • 2
    • 34334300
      • 10
        • 5
        • 2
      • 3433430
        • 10
          • 5
          • 2
        • 343343
          • 7
          • 49049
            • 7007
              • 7
              • 1001
                • 143
                  • 11
                  • 13
                • 7
            • 7
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