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Question

Find the prime factorization of number 405.

Answer

The prime factorization of 405 is:

$$ 405 = 3\cdot3\cdot3\cdot3\cdot5 $$

Which is the same as :

$$ 405 = 3^{4}\cdot5 $$

Explanation

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

405 can be written as 5 × 81.
  • 405
    • 5
    • 81
81 can be written as 3 × 27.
  • 405
    • 5
    • 81
      • 27
      • 3
27 can be written as 3 × 9.
  • 405
    • 5
    • 81
      • 27
        • 3
        • 9
      • 3
9 can be written as 3 × 3.
  • 405
    • 5
    • 81
      • 27
        • 3
        • 9
          • 3
          • 3
      • 3
The end nodes are the prime factors of the number 405.
  • 405
    • 5
    • 81
      • 27
        • 3
        • 9
          • 3
          • 3
      • 3
This page was created using
Prime factorization calculator