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Question

Find the prime factorization of number 2625.

Answer

The prime factorization of 2625 is:

$$ 2625 = 3\cdot5\cdot5\cdot5\cdot7 $$

Which is the same as :

$$ 2625 = 3\cdot5^{3}\cdot7 $$

Explanation

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

2625 can be written as 5 × 525.
  • 2625
    • 5
    • 525
525 can be written as 5 × 105.
  • 2625
    • 5
    • 525
      • 105
      • 5
105 can be written as 5 × 21.
  • 2625
    • 5
    • 525
      • 105
        • 5
        • 21
      • 5
21 can be written as 3 × 7.
  • 2625
    • 5
    • 525
      • 105
        • 5
        • 21
          • 7
          • 3
      • 5
The end nodes are the prime factors of the number 2625.
  • 2625
    • 5
    • 525
      • 105
        • 5
        • 21
          • 7
          • 3
      • 5
This page was created using
Prime factorization calculator