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Question

Find the prime factorization of number 6419.

Answer

The prime factorization of 6419 is:

$$ 6419 = 7\cdot7\cdot131 $$

Which is the same as :

$$ 6419 = 7^{2}\cdot131 $$

Explanation

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

6419 can be written as 7 × 917.
  • 6419
    • 7
    • 917
917 can be written as 7 × 131.
  • 6419
    • 7
    • 917
      • 131
      • 7
The end nodes are the prime factors of the number 6419.
  • 6419
    • 7
    • 917
      • 131
      • 7
This page was created using
Prime factorization calculator