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Question

Find the prime factorization of number 4995.

Answer

The prime factorization of 4995 is:

$$ 4995 = 3\cdot3\cdot3\cdot5\cdot37 $$

Which is the same as :

$$ 4995 = 3^{3}\cdot5\cdot37 $$

Explanation

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

4995 can be written as 5 × 999.
  • 4995
    • 5
    • 999
999 can be written as 3 × 333.
  • 4995
    • 5
    • 999
      • 333
      • 3
333 can be written as 3 × 111.
  • 4995
    • 5
    • 999
      • 333
        • 3
        • 111
      • 3
111 can be written as 3 × 37.
  • 4995
    • 5
    • 999
      • 333
        • 3
        • 111
          • 37
          • 3
      • 3
The end nodes are the prime factors of the number 4995.
  • 4995
    • 5
    • 999
      • 333
        • 3
        • 111
          • 37
          • 3
      • 3
This page was created using
Prime factorization calculator