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Question

Find the prime factorization of number 12544.

Answer

The prime factorization of 12544 is:

$$ 12544 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot7\cdot7 $$

Which is the same as :

$$ 12544 = 2^{8}\cdot7^{2} $$

Explanation

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

12544 can be written as 2 × 6272.
  • 12544
    • 2
    • 6272
6272 can be written as 2 × 3136.
  • 12544
    • 2
    • 6272
      • 3136
      • 2
3136 can be written as 2 × 1568.
  • 12544
    • 2
    • 6272
      • 3136
        • 2
        • 1568
      • 2
1568 can be written as 2 × 784.
  • 12544
    • 2
    • 6272
      • 3136
        • 2
        • 1568
          • 784
          • 2
      • 2
784 can be written as 2 × 392.
  • 12544
    • 2
    • 6272
      • 3136
        • 2
        • 1568
          • 784
            • 2
            • 392
          • 2
      • 2
392 can be written as 2 × 196.
  • 12544
    • 2
    • 6272
      • 3136
        • 2
        • 1568
          • 784
            • 2
            • 392
              • 196
              • 2
          • 2
      • 2
196 can be written as 2 × 98.
  • 12544
    • 2
    • 6272
      • 3136
        • 2
        • 1568
          • 784
            • 2
            • 392
              • 196
                • 2
                • 98
              • 2
          • 2
      • 2
98 can be written as 2 × 49.
  • 12544
    • 2
    • 6272
      • 3136
        • 2
        • 1568
          • 784
            • 2
            • 392
              • 196
                • 2
                • 98
                  • 49
                  • 2
              • 2
          • 2
      • 2
49 can be written as 7 × 7.
  • 12544
    • 2
    • 6272
      • 3136
        • 2
        • 1568
          • 784
            • 2
            • 392
              • 196
                • 2
                • 98
                  • 49
                    • 7
                    • 7
                  • 2
              • 2
          • 2
      • 2
The end nodes are the prime factors of the number 12544.
  • 12544
    • 2
    • 6272
      • 3136
        • 2
        • 1568
          • 784
            • 2
            • 392
              • 196
                • 2
                • 98
                  • 49
                    • 7
                    • 7
                  • 2
              • 2
          • 2
      • 2
This page was created using
Prime factorization calculator