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Question

Find the prime factorization of number 1008.

Answer

The prime factorization of 1008 is:

Which is the same as :

Explanation

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

1008 can be written as 2 × 504.
  • 1008
    • 2
    • 504
504 can be written as 2 × 252.
  • 1008
    • 2
    • 504
      • 252
      • 2
252 can be written as 2 × 126.
  • 1008
    • 2
    • 504
      • 252
        • 2
        • 126
      • 2
126 can be written as 2 × 63.
  • 1008
    • 2
    • 504
      • 252
        • 2
        • 126
          • 63
          • 2
      • 2
63 can be written as 3 × 21.
  • 1008
    • 2
    • 504
      • 252
        • 2
        • 126
          • 63
            • 3
            • 21
          • 2
      • 2
21 can be written as 3 × 7.
  • 1008
    • 2
    • 504
      • 252
        • 2
        • 126
          • 63
            • 3
            • 21
              • 7
              • 3
          • 2
      • 2
The end nodes are the prime factors of the number 1008.
  • 1008
    • 2
    • 504
      • 252
        • 2
        • 126
          • 63
            • 3
            • 21
              • 7
              • 3
          • 2
      • 2
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