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Find the prime factorization of number 216.

Answer

The prime factorization of 216 is:

$$ 216 = 2\cdot2\cdot2\cdot3\cdot3\cdot3 $$

Which is the same as :

$$ 216 = 2^{3}\cdot3^{3} $$

Explanation

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

216 can be written as 2 × 108.
  • 216
    • 2
    • 108
108 can be written as 2 × 54.
  • 216
    • 2
    • 108
      • 54
      • 2
54 can be written as 2 × 27.
  • 216
    • 2
    • 108
      • 54
        • 2
        • 27
      • 2
27 can be written as 3 × 9.
  • 216
    • 2
    • 108
      • 54
        • 2
        • 27
          • 9
          • 3
      • 2
9 can be written as 3 × 3.
  • 216
    • 2
    • 108
      • 54
        • 2
        • 27
          • 9
            • 3
            • 3
          • 3
      • 2
The end nodes are the prime factors of the number 216.
  • 216
    • 2
    • 108
      • 54
        • 2
        • 27
          • 9
            • 3
            • 3
          • 3
      • 2
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Prime factorization calculator