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Question

Find the prime factorization of number 6517.

Answer

The prime factorization of 6517 is:

$$ 6517 = 7\cdot7\cdot7\cdot19 $$

Which is the same as :

$$ 6517 = 7^{3}\cdot19 $$

Explanation

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

6517 can be written as 7 × 931.
  • 6517
    • 7
    • 931
931 can be written as 7 × 133.
  • 6517
    • 7
    • 931
      • 133
      • 7
133 can be written as 7 × 19.
  • 6517
    • 7
    • 931
      • 133
        • 7
        • 19
      • 7
The end nodes are the prime factors of the number 6517.
  • 6517
    • 7
    • 931
      • 133
        • 7
        • 19
      • 7
This page was created using
Prime factorization calculator