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Question

Find the prime factorization of number 204.

Answer

The prime factorization of 204 is:

$$ 204 = 2\cdot2\cdot3\cdot17 $$

Which is the same as :

$$ 204 = 2^{2}\cdot3\cdot17 $$

Explanation

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

204 can be written as 2 × 102.
  • 204
    • 2
    • 102
102 can be written as 2 × 51.
  • 204
    • 2
    • 102
      • 51
      • 2
51 can be written as 3 × 17.
  • 204
    • 2
    • 102
      • 51
        • 3
        • 17
      • 2
The end nodes are the prime factors of the number 204.
  • 204
    • 2
    • 102
      • 51
        • 3
        • 17
      • 2
This page was created using
Prime factorization calculator