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Find the prime factorization of number 128.

Answer

The prime factorization of 128 is:

$$ 128 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2 $$

Which is the same as :

$$ 128 = 2^{7} $$

Explanation

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

128 can be written as 2 × 64.
  • 128
    • 2
    • 64
64 can be written as 2 × 32.
  • 128
    • 2
    • 64
      • 32
      • 2
32 can be written as 2 × 16.
  • 128
    • 2
    • 64
      • 32
        • 2
        • 16
      • 2
16 can be written as 2 × 8.
  • 128
    • 2
    • 64
      • 32
        • 2
        • 16
          • 8
          • 2
      • 2
8 can be written as 2 × 4.
  • 128
    • 2
    • 64
      • 32
        • 2
        • 16
          • 8
            • 2
            • 4
          • 2
      • 2
4 can be written as 2 × 2.
  • 128
    • 2
    • 64
      • 32
        • 2
        • 16
          • 8
            • 2
            • 4
              • 2
              • 2
          • 2
      • 2
The end nodes are the prime factors of the number 128.
  • 128
    • 2
    • 64
      • 32
        • 2
        • 16
          • 8
            • 2
            • 4
              • 2
              • 2
          • 2
      • 2
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Prime factorization calculator