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Question

Find the prime factorization of number 2736.

Answer

The prime factorization of 2736 is:

$$ 2736 = 2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot19 $$

Which is the same as :

$$ 2736 = 2^{4}\cdot3^{2}\cdot19 $$

Explanation

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

2736 can be written as 2 × 1368.
  • 2736
    • 2
    • 1368
1368 can be written as 2 × 684.
  • 2736
    • 2
    • 1368
      • 684
      • 2
684 can be written as 2 × 342.
  • 2736
    • 2
    • 1368
      • 684
        • 2
        • 342
      • 2
342 can be written as 2 × 171.
  • 2736
    • 2
    • 1368
      • 684
        • 2
        • 342
          • 171
          • 2
      • 2
171 can be written as 3 × 57.
  • 2736
    • 2
    • 1368
      • 684
        • 2
        • 342
          • 171
            • 3
            • 57
          • 2
      • 2
57 can be written as 3 × 19.
  • 2736
    • 2
    • 1368
      • 684
        • 2
        • 342
          • 171
            • 3
            • 57
              • 19
              • 3
          • 2
      • 2
The end nodes are the prime factors of the number 2736.
  • 2736
    • 2
    • 1368
      • 684
        • 2
        • 342
          • 171
            • 3
            • 57
              • 19
              • 3
          • 2
      • 2
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Prime factorization calculator