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 9800.

Answer

The prime factorization of 9800 is:

$$ 9800 = 2\cdot2\cdot2\cdot5\cdot5\cdot7\cdot7 $$

Which is the same as :

$$ 9800 = 2^{3}\cdot5^{2}\cdot7^{2} $$

Explanation

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

9800 can be written as 10 × 980.
  • 9800
    • 10
    • 980
10 can be written as 2 × 5.
  • 9800
    • 10
      • 5
      • 2
    • 980
980 can be written as 10 × 98.
  • 9800
    • 10
      • 5
      • 2
    • 980
      • 10
      • 98
10 can be written as 2 × 5.
  • 9800
    • 10
      • 5
      • 2
    • 980
      • 10
        • 5
        • 2
      • 98
98 can be written as 2 × 49.
  • 9800
    • 10
      • 5
      • 2
    • 980
      • 10
        • 5
        • 2
      • 98
        • 2
        • 49
49 can be written as 7 × 7.
  • 9800
    • 10
      • 5
      • 2
    • 980
      • 10
        • 5
        • 2
      • 98
        • 2
        • 49
          • 7
          • 7
The end nodes are the prime factors of the number 9800.
  • 9800
    • 10
      • 5
      • 2
    • 980
      • 10
        • 5
        • 2
      • 98
        • 2
        • 49
          • 7
          • 7
This page was created using
Prime factorization calculator