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Question

Find the prime factorization of number 8820.

Answer

The prime factorization of 8820 is:

$$ 8820 = 2\cdot2\cdot3\cdot3\cdot5\cdot7\cdot7 $$

Which is the same as :

$$ 8820 = 2^{2}\cdot3^{2}\cdot5\cdot7^{2} $$

Explanation

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

8820 can be written as 10 × 882.
  • 8820
    • 10
    • 882
10 can be written as 2 × 5.
  • 8820
    • 10
      • 5
      • 2
    • 882
882 can be written as 2 × 441.
  • 8820
    • 10
      • 5
      • 2
    • 882
      • 2
      • 441
441 can be written as 3 × 147.
  • 8820
    • 10
      • 5
      • 2
    • 882
      • 2
      • 441
        • 147
        • 3
147 can be written as 3 × 49.
  • 8820
    • 10
      • 5
      • 2
    • 882
      • 2
      • 441
        • 147
          • 3
          • 49
        • 3
49 can be written as 7 × 7.
  • 8820
    • 10
      • 5
      • 2
    • 882
      • 2
      • 441
        • 147
          • 3
          • 49
            • 7
            • 7
        • 3
The end nodes are the prime factors of the number 8820.
  • 8820
    • 10
      • 5
      • 2
    • 882
      • 2
      • 441
        • 147
          • 3
          • 49
            • 7
            • 7
        • 3
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Prime factorization calculator