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Question

Find the prime factorization of number 6660.

Answer

The prime factorization of 6660 is:

$$ 6660 = 2\cdot2\cdot3\cdot3\cdot5\cdot37 $$

Which is the same as :

$$ 6660 = 2^{2}\cdot3^{2}\cdot5\cdot37 $$

Explanation

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

6660 can be written as 10 × 666.
  • 6660
    • 10
    • 666
10 can be written as 2 × 5.
  • 6660
    • 10
      • 5
      • 2
    • 666
666 can be written as 2 × 333.
  • 6660
    • 10
      • 5
      • 2
    • 666
      • 2
      • 333
333 can be written as 3 × 111.
  • 6660
    • 10
      • 5
      • 2
    • 666
      • 2
      • 333
        • 111
        • 3
111 can be written as 3 × 37.
  • 6660
    • 10
      • 5
      • 2
    • 666
      • 2
      • 333
        • 111
          • 3
          • 37
        • 3
The end nodes are the prime factors of the number 6660.
  • 6660
    • 10
      • 5
      • 2
    • 666
      • 2
      • 333
        • 111
          • 3
          • 37
        • 3
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