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Question

Find the prime factorization of number 504.

Answer

The prime factorization of 504 is:

$$ 504 = 2\cdot2\cdot2\cdot3\cdot3\cdot7 $$

Which is the same as :

$$ 504 = 2^{3}\cdot3^{2}\cdot7 $$

Explanation

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

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