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Find the prime factorization of number 864.

Answer

The prime factorization of 864 is:

$$ 864 = 2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot3 $$

Which is the same as :

$$ 864 = 2^{5}\cdot3^{3} $$

Explanation

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

864 can be written as 2 × 432.
  • 864
    • 2
    • 432
432 can be written as 2 × 216.
  • 864
    • 2
    • 432
      • 216
      • 2
216 can be written as 2 × 108.
  • 864
    • 2
    • 432
      • 216
        • 2
        • 108
      • 2
108 can be written as 2 × 54.
  • 864
    • 2
    • 432
      • 216
        • 2
        • 108
          • 54
          • 2
      • 2
54 can be written as 2 × 27.
  • 864
    • 2
    • 432
      • 216
        • 2
        • 108
          • 54
            • 2
            • 27
          • 2
      • 2
27 can be written as 3 × 9.
  • 864
    • 2
    • 432
      • 216
        • 2
        • 108
          • 54
            • 2
            • 27
              • 9
              • 3
          • 2
      • 2
9 can be written as 3 × 3.
  • 864
    • 2
    • 432
      • 216
        • 2
        • 108
          • 54
            • 2
            • 27
              • 9
                • 3
                • 3
              • 3
          • 2
      • 2
The end nodes are the prime factors of the number 864.
  • 864
    • 2
    • 432
      • 216
        • 2
        • 108
          • 54
            • 2
            • 27
              • 9
                • 3
                • 3
              • 3
          • 2
      • 2
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Prime factorization calculator