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Question

Find the prime factorization of number 3872.

Answer

The prime factorization of 3872 is:

$$ 3872 = 2\cdot2\cdot2\cdot2\cdot2\cdot11\cdot11 $$

Which is the same as :

$$ 3872 = 2^{5}\cdot11^{2} $$

Explanation

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

3872 can be written as 2 × 1936.
  • 3872
    • 2
    • 1936
1936 can be written as 2 × 968.
  • 3872
    • 2
    • 1936
      • 968
      • 2
968 can be written as 2 × 484.
  • 3872
    • 2
    • 1936
      • 968
        • 2
        • 484
      • 2
484 can be written as 2 × 242.
  • 3872
    • 2
    • 1936
      • 968
        • 2
        • 484
          • 242
          • 2
      • 2
242 can be written as 2 × 121.
  • 3872
    • 2
    • 1936
      • 968
        • 2
        • 484
          • 242
            • 2
            • 121
          • 2
      • 2
121 can be written as 11 × 11.
  • 3872
    • 2
    • 1936
      • 968
        • 2
        • 484
          • 242
            • 2
            • 121
              • 11
              • 11
          • 2
      • 2
The end nodes are the prime factors of the number 3872.
  • 3872
    • 2
    • 1936
      • 968
        • 2
        • 484
          • 242
            • 2
            • 121
              • 11
              • 11
          • 2
      • 2
This page was created using
Prime factorization calculator