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Question

Find the prime factorization of number 2001.

Answer

The prime factorization of 2001 is:

$$ 2001 = 3\cdot23\cdot29 $$

Explanation

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

2001 can be written as 3 × 667.
  • 2001
    • 3
    • 667
667 can be written as 23 × 29.
  • 2001
    • 3
    • 667
      • 29
      • 23
The end nodes are the prime factors of the number 2001.
  • 2001
    • 3
    • 667
      • 29
      • 23
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Prime factorization calculator