Math Calculators, Lessons and Formulas

It is time to solve your math problem

mathportal.org

◀ back to index

Question

Find the prime factorization of number 4096.

Answer

The prime factorization of 4096 is:

$$ 4096 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2 $$

Which is the same as :

$$ 4096 = 2^{12} $$

Explanation

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

4096 can be written as 2 × 2048.
  • 4096
    • 2
    • 2048
2048 can be written as 2 × 1024.
  • 4096
    • 2
    • 2048
      • 1024
      • 2
1024 can be written as 2 × 512.
  • 4096
    • 2
    • 2048
      • 1024
        • 2
        • 512
      • 2
512 can be written as 2 × 256.
  • 4096
    • 2
    • 2048
      • 1024
        • 2
        • 512
          • 256
          • 2
      • 2
256 can be written as 2 × 128.
  • 4096
    • 2
    • 2048
      • 1024
        • 2
        • 512
          • 256
            • 2
            • 128
          • 2
      • 2
128 can be written as 2 × 64.
  • 4096
    • 2
    • 2048
      • 1024
        • 2
        • 512
          • 256
            • 2
            • 128
              • 64
              • 2
          • 2
      • 2
64 can be written as 2 × 32.
  • 4096
    • 2
    • 2048
      • 1024
        • 2
        • 512
          • 256
            • 2
            • 128
              • 64
                • 2
                • 32
              • 2
          • 2
      • 2
32 can be written as 2 × 16.
  • 4096
    • 2
    • 2048
      • 1024
        • 2
        • 512
          • 256
            • 2
            • 128
              • 64
                • 2
                • 32
                  • 16
                  • 2
              • 2
          • 2
      • 2
16 can be written as 2 × 8.
  • 4096
    • 2
    • 2048
      • 1024
        • 2
        • 512
          • 256
            • 2
            • 128
              • 64
                • 2
                • 32
                  • 16
                    • 2
                    • 8
                  • 2
              • 2
          • 2
      • 2
8 can be written as 2 × 4.
  • 4096
    • 2
    • 2048
      • 1024
        • 2
        • 512
          • 256
            • 2
            • 128
              • 64
                • 2
                • 32
                  • 16
                    • 2
                    • 8
                      • 4
                      • 2
                  • 2
              • 2
          • 2
      • 2
4 can be written as 2 × 2.
  • 4096
    • 2
    • 2048
      • 1024
        • 2
        • 512
          • 256
            • 2
            • 128
              • 64
                • 2
                • 32
                  • 16
                    • 2
                    • 8
                      • 4
                        • 2
                        • 2
                      • 2
                  • 2
              • 2
          • 2
      • 2
The end nodes are the prime factors of the number 4096.
  • 4096
    • 2
    • 2048
      • 1024
        • 2
        • 512
          • 256
            • 2
            • 128
              • 64
                • 2
                • 32
                  • 16
                    • 2
                    • 8
                      • 4
                        • 2
                        • 2
                      • 2
                  • 2
              • 2
          • 2
      • 2
This page was created using
Prime factorization calculator