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Find the prime factorization of number 1125.

Answer

The prime factorization of 1125 is:

$$ 1125 = 3\cdot3\cdot5\cdot5\cdot5 $$

Which is the same as :

$$ 1125 = 3^{2}\cdot5^{3} $$

Explanation

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

1125 can be written as 5 × 225.
  • 1125
    • 5
    • 225
225 can be written as 5 × 45.
  • 1125
    • 5
    • 225
      • 45
      • 5
45 can be written as 5 × 9.
  • 1125
    • 5
    • 225
      • 45
        • 5
        • 9
      • 5
9 can be written as 3 × 3.
  • 1125
    • 5
    • 225
      • 45
        • 5
        • 9
          • 3
          • 3
      • 5
The end nodes are the prime factors of the number 1125.
  • 1125
    • 5
    • 225
      • 45
        • 5
        • 9
          • 3
          • 3
      • 5
This page was created using
Prime factorization calculator