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Question

Find the prime factorization of number 1323.

Answer

The prime factorization of 1323 is:

$$ 1323 = 3\cdot3\cdot3\cdot7\cdot7 $$

Which is the same as :

$$ 1323 = 3^{3}\cdot7^{2} $$

Explanation

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

1323 can be written as 3 × 441.
  • 1323
    • 3
    • 441
441 can be written as 3 × 147.
  • 1323
    • 3
    • 441
      • 147
      • 3
147 can be written as 3 × 49.
  • 1323
    • 3
    • 441
      • 147
        • 3
        • 49
      • 3
49 can be written as 7 × 7.
  • 1323
    • 3
    • 441
      • 147
        • 3
        • 49
          • 7
          • 7
      • 3
The end nodes are the prime factors of the number 1323.
  • 1323
    • 3
    • 441
      • 147
        • 3
        • 49
          • 7
          • 7
      • 3
This page was created using
Prime factorization calculator