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Find the prime factorization of number 384.

Answer

The prime factorization of 384 is:

$$ 384 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3 $$

Which is the same as :

$$ 384 = 2^{7}\cdot3 $$

Explanation

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

384 can be written as 2 × 192.
  • 384
    • 2
    • 192
192 can be written as 2 × 96.
  • 384
    • 2
    • 192
      • 96
      • 2
96 can be written as 2 × 48.
  • 384
    • 2
    • 192
      • 96
        • 2
        • 48
      • 2
48 can be written as 2 × 24.
  • 384
    • 2
    • 192
      • 96
        • 2
        • 48
          • 24
          • 2
      • 2
24 can be written as 2 × 12.
  • 384
    • 2
    • 192
      • 96
        • 2
        • 48
          • 24
            • 2
            • 12
          • 2
      • 2
12 can be written as 2 × 6.
  • 384
    • 2
    • 192
      • 96
        • 2
        • 48
          • 24
            • 2
            • 12
              • 6
              • 2
          • 2
      • 2
6 can be written as 2 × 3.
  • 384
    • 2
    • 192
      • 96
        • 2
        • 48
          • 24
            • 2
            • 12
              • 6
                • 2
                • 3
              • 2
          • 2
      • 2
The end nodes are the prime factors of the number 384.
  • 384
    • 2
    • 192
      • 96
        • 2
        • 48
          • 24
            • 2
            • 12
              • 6
                • 2
                • 3
              • 2
          • 2
      • 2
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Prime factorization calculator