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Question

Find the prime factorization of number 4131.

Answer

The prime factorization of 4131 is:

$$ 4131 = 3\cdot3\cdot3\cdot3\cdot3\cdot17 $$

Which is the same as :

$$ 4131 = 3^{5}\cdot17 $$

Explanation

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

4131 can be written as 3 × 1377.
  • 4131
    • 3
    • 1377
1377 can be written as 3 × 459.
  • 4131
    • 3
    • 1377
      • 459
      • 3
459 can be written as 3 × 153.
  • 4131
    • 3
    • 1377
      • 459
        • 3
        • 153
      • 3
153 can be written as 3 × 51.
  • 4131
    • 3
    • 1377
      • 459
        • 3
        • 153
          • 51
          • 3
      • 3
51 can be written as 3 × 17.
  • 4131
    • 3
    • 1377
      • 459
        • 3
        • 153
          • 51
            • 3
            • 17
          • 3
      • 3
The end nodes are the prime factors of the number 4131.
  • 4131
    • 3
    • 1377
      • 459
        • 3
        • 153
          • 51
            • 3
            • 17
          • 3
      • 3
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