Math Calculators, Lessons and Formulas

It is time to solve your math problem

mathportal.org

back to index

Find the prime factorization of number 5625.

Answer

The prime factorization of 5625 is:

$$ 5625 = 3\cdot3\cdot5\cdot5\cdot5\cdot5 $$

Which is the same as :

$$ 5625 = 3^{2}\cdot5^{4} $$

Explanation

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

5625 can be written as 5 × 1125.
  • 5625
    • 5
    • 1125
1125 can be written as 5 × 225.
  • 5625
    • 5
    • 1125
      • 225
      • 5
225 can be written as 5 × 45.
  • 5625
    • 5
    • 1125
      • 225
        • 5
        • 45
      • 5
45 can be written as 5 × 9.
  • 5625
    • 5
    • 1125
      • 225
        • 5
        • 45
          • 9
          • 5
      • 5
9 can be written as 3 × 3.
  • 5625
    • 5
    • 1125
      • 225
        • 5
        • 45
          • 9
            • 3
            • 3
          • 5
      • 5
The end nodes are the prime factors of the number 5625.
  • 5625
    • 5
    • 1125
      • 225
        • 5
        • 45
          • 9
            • 3
            • 3
          • 5
      • 5
This page was created using
Prime factorization calculator