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Question

Find the prime factorization of number 1925.

Answer

The prime factorization of 1925 is:

$$ 1925 = 5\cdot5\cdot7\cdot11 $$

Which is the same as :

$$ 1925 = 5^{2}\cdot7\cdot11 $$

Explanation

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

1925 can be written as 5 × 385.
  • 1925
    • 5
    • 385
385 can be written as 5 × 77.
  • 1925
    • 5
    • 385
      • 77
      • 5
77 can be written as 7 × 11.
  • 1925
    • 5
    • 385
      • 77
        • 7
        • 11
      • 5
The end nodes are the prime factors of the number 1925.
  • 1925
    • 5
    • 385
      • 77
        • 7
        • 11
      • 5
This page was created using
Prime factorization calculator