Math Calculators, Lessons and Formulas

It is time to solve your math problem

mathportal.org

◀ back to index

Question

Find the prime factorization of number 80000.

Answer

The prime factorization of 80000 is:

$$ 80000 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot5\cdot5\cdot5\cdot5 $$

Which is the same as :

$$ 80000 = 2^{7}\cdot5^{4} $$

Explanation

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

80000 can be written as 10 × 8000.
  • 80000
    • 10
    • 8000
10 can be written as 2 × 5.
  • 80000
    • 10
      • 5
      • 2
    • 8000
8000 can be written as 10 × 800.
  • 80000
    • 10
      • 5
      • 2
    • 8000
      • 10
      • 800
10 can be written as 2 × 5.
  • 80000
    • 10
      • 5
      • 2
    • 8000
      • 10
        • 5
        • 2
      • 800
800 can be written as 10 × 80.
  • 80000
    • 10
      • 5
      • 2
    • 8000
      • 10
        • 5
        • 2
      • 800
        • 10
        • 80
10 can be written as 2 × 5.
  • 80000
    • 10
      • 5
      • 2
    • 8000
      • 10
        • 5
        • 2
      • 800
        • 10
          • 5
          • 2
        • 80
80 can be written as 10 × 8.
  • 80000
    • 10
      • 5
      • 2
    • 8000
      • 10
        • 5
        • 2
      • 800
        • 10
          • 5
          • 2
        • 80
          • 10
          • 8
10 can be written as 2 × 5.
  • 80000
    • 10
      • 5
      • 2
    • 8000
      • 10
        • 5
        • 2
      • 800
        • 10
          • 5
          • 2
        • 80
          • 10
            • 5
            • 2
          • 8
8 can be written as 2 × 4.
  • 80000
    • 10
      • 5
      • 2
    • 8000
      • 10
        • 5
        • 2
      • 800
        • 10
          • 5
          • 2
        • 80
          • 10
            • 5
            • 2
          • 8
            • 2
            • 4
4 can be written as 2 × 2.
  • 80000
    • 10
      • 5
      • 2
    • 8000
      • 10
        • 5
        • 2
      • 800
        • 10
          • 5
          • 2
        • 80
          • 10
            • 5
            • 2
          • 8
            • 2
            • 4
              • 2
              • 2
The end nodes are the prime factors of the number 80000.
  • 80000
    • 10
      • 5
      • 2
    • 8000
      • 10
        • 5
        • 2
      • 800
        • 10
          • 5
          • 2
        • 80
          • 10
            • 5
            • 2
          • 8
            • 2
            • 4
              • 2
              • 2
This page was created using
Prime factorization calculator