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Question

Find the prime factorization of number 4736.

Answer

The prime factorization of 4736 is:

$$ 4736 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot37 $$

Which is the same as :

$$ 4736 = 2^{7}\cdot37 $$

Explanation

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

4736 can be written as 2 × 2368.
  • 4736
    • 2
    • 2368
2368 can be written as 2 × 1184.
  • 4736
    • 2
    • 2368
      • 1184
      • 2
1184 can be written as 2 × 592.
  • 4736
    • 2
    • 2368
      • 1184
        • 2
        • 592
      • 2
592 can be written as 2 × 296.
  • 4736
    • 2
    • 2368
      • 1184
        • 2
        • 592
          • 296
          • 2
      • 2
296 can be written as 2 × 148.
  • 4736
    • 2
    • 2368
      • 1184
        • 2
        • 592
          • 296
            • 2
            • 148
          • 2
      • 2
148 can be written as 2 × 74.
  • 4736
    • 2
    • 2368
      • 1184
        • 2
        • 592
          • 296
            • 2
            • 148
              • 74
              • 2
          • 2
      • 2
74 can be written as 2 × 37.
  • 4736
    • 2
    • 2368
      • 1184
        • 2
        • 592
          • 296
            • 2
            • 148
              • 74
                • 2
                • 37
              • 2
          • 2
      • 2
The end nodes are the prime factors of the number 4736.
  • 4736
    • 2
    • 2368
      • 1184
        • 2
        • 592
          • 296
            • 2
            • 148
              • 74
                • 2
                • 37
              • 2
          • 2
      • 2
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Prime factorization calculator