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Find the prime factorization of number 1024.

Answer

The prime factorization of 1024 is:

$$ 1024 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2 $$

Which is the same as :

$$ 1024 = 2^{10} $$

Explanation

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

1024 can be written as 2 × 512.
  • 1024
    • 2
    • 512
512 can be written as 2 × 256.
  • 1024
    • 2
    • 512
      • 256
      • 2
256 can be written as 2 × 128.
  • 1024
    • 2
    • 512
      • 256
        • 2
        • 128
      • 2
128 can be written as 2 × 64.
  • 1024
    • 2
    • 512
      • 256
        • 2
        • 128
          • 64
          • 2
      • 2
64 can be written as 2 × 32.
  • 1024
    • 2
    • 512
      • 256
        • 2
        • 128
          • 64
            • 2
            • 32
          • 2
      • 2
32 can be written as 2 × 16.
  • 1024
    • 2
    • 512
      • 256
        • 2
        • 128
          • 64
            • 2
            • 32
              • 16
              • 2
          • 2
      • 2
16 can be written as 2 × 8.
  • 1024
    • 2
    • 512
      • 256
        • 2
        • 128
          • 64
            • 2
            • 32
              • 16
                • 2
                • 8
              • 2
          • 2
      • 2
8 can be written as 2 × 4.
  • 1024
    • 2
    • 512
      • 256
        • 2
        • 128
          • 64
            • 2
            • 32
              • 16
                • 2
                • 8
                  • 4
                  • 2
              • 2
          • 2
      • 2
4 can be written as 2 × 2.
  • 1024
    • 2
    • 512
      • 256
        • 2
        • 128
          • 64
            • 2
            • 32
              • 16
                • 2
                • 8
                  • 4
                    • 2
                    • 2
                  • 2
              • 2
          • 2
      • 2
The end nodes are the prime factors of the number 1024.
  • 1024
    • 2
    • 512
      • 256
        • 2
        • 128
          • 64
            • 2
            • 32
              • 16
                • 2
                • 8
                  • 4
                    • 2
                    • 2
                  • 2
              • 2
          • 2
      • 2
This page was created using
Prime factorization calculator