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Question

Find the prime factorization of number 3465.

Answer

The prime factorization of 3465 is:

$$ 3465 = 3\cdot3\cdot5\cdot7\cdot11 $$

Which is the same as :

$$ 3465 = 3^{2}\cdot5\cdot7\cdot11 $$

Explanation

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

3465 can be written as 5 × 693.
  • 3465
    • 5
    • 693
693 can be written as 3 × 231.
  • 3465
    • 5
    • 693
      • 231
      • 3
231 can be written as 3 × 77.
  • 3465
    • 5
    • 693
      • 231
        • 3
        • 77
      • 3
77 can be written as 7 × 11.
  • 3465
    • 5
    • 693
      • 231
        • 3
        • 77
          • 11
          • 7
      • 3
The end nodes are the prime factors of the number 3465.
  • 3465
    • 5
    • 693
      • 231
        • 3
        • 77
          • 11
          • 7
      • 3
This page was created using
Prime factorization calculator