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Find the prime factorization of number 108.

Answer

The prime factorization of 108 is:

$$ 108 = 2\cdot2\cdot3\cdot3\cdot3 $$

Which is the same as :

$$ 108 = 2^{2}\cdot3^{3} $$

Explanation

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

108 can be written as 2 × 54.
  • 108
    • 2
    • 54
54 can be written as 2 × 27.
  • 108
    • 2
    • 54
      • 27
      • 2
27 can be written as 3 × 9.
  • 108
    • 2
    • 54
      • 27
        • 3
        • 9
      • 2
9 can be written as 3 × 3.
  • 108
    • 2
    • 54
      • 27
        • 3
        • 9
          • 3
          • 3
      • 2
The end nodes are the prime factors of the number 108.
  • 108
    • 2
    • 54
      • 27
        • 3
        • 9
          • 3
          • 3
      • 2
This page was created using
Prime factorization calculator