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Question

Find the prime factorization of number 1701.

Answer

The prime factorization of 1701 is:

$$ 1701 = 3\cdot3\cdot3\cdot3\cdot3\cdot7 $$

Which is the same as :

$$ 1701 = 3^{5}\cdot7 $$

Explanation

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

1701 can be written as 3 × 567.
  • 1701
    • 3
    • 567
567 can be written as 3 × 189.
  • 1701
    • 3
    • 567
      • 189
      • 3
189 can be written as 3 × 63.
  • 1701
    • 3
    • 567
      • 189
        • 3
        • 63
      • 3
63 can be written as 3 × 21.
  • 1701
    • 3
    • 567
      • 189
        • 3
        • 63
          • 21
          • 3
      • 3
21 can be written as 3 × 7.
  • 1701
    • 3
    • 567
      • 189
        • 3
        • 63
          • 21
            • 3
            • 7
          • 3
      • 3
The end nodes are the prime factors of the number 1701.
  • 1701
    • 3
    • 567
      • 189
        • 3
        • 63
          • 21
            • 3
            • 7
          • 3
      • 3
This page was created using
Prime factorization calculator