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Question

Find the prime factorization of number 30800.

Answer

The prime factorization of 30800 is:

$$ 30800 = 2\cdot2\cdot2\cdot2\cdot5\cdot5\cdot7\cdot11 $$

Which is the same as :

$$ 30800 = 2^{4}\cdot5^{2}\cdot7\cdot11 $$

Explanation

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

30800 can be written as 10 × 3080.
  • 30800
    • 10
    • 3080
10 can be written as 2 × 5.
  • 30800
    • 10
      • 5
      • 2
    • 3080
3080 can be written as 10 × 308.
  • 30800
    • 10
      • 5
      • 2
    • 3080
      • 10
      • 308
10 can be written as 2 × 5.
  • 30800
    • 10
      • 5
      • 2
    • 3080
      • 10
        • 5
        • 2
      • 308
308 can be written as 2 × 154.
  • 30800
    • 10
      • 5
      • 2
    • 3080
      • 10
        • 5
        • 2
      • 308
        • 2
        • 154
154 can be written as 2 × 77.
  • 30800
    • 10
      • 5
      • 2
    • 3080
      • 10
        • 5
        • 2
      • 308
        • 2
        • 154
          • 77
          • 2
77 can be written as 7 × 11.
  • 30800
    • 10
      • 5
      • 2
    • 3080
      • 10
        • 5
        • 2
      • 308
        • 2
        • 154
          • 77
            • 7
            • 11
          • 2
The end nodes are the prime factors of the number 30800.
  • 30800
    • 10
      • 5
      • 2
    • 3080
      • 10
        • 5
        • 2
      • 308
        • 2
        • 154
          • 77
            • 7
            • 11
          • 2
This page was created using
Prime factorization calculator