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 6930.

Answer

The prime factorization of 6930 is:

$$ 6930 = 2\cdot3\cdot3\cdot5\cdot7\cdot11 $$

Which is the same as :

$$ 6930 = 2\cdot3^{2}\cdot5\cdot7\cdot11 $$

Explanation

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

6930 can be written as 10 × 693.
  • 6930
    • 10
    • 693
10 can be written as 2 × 5.
  • 6930
    • 10
      • 5
      • 2
    • 693
693 can be written as 3 × 231.
  • 6930
    • 10
      • 5
      • 2
    • 693
      • 3
      • 231
231 can be written as 3 × 77.
  • 6930
    • 10
      • 5
      • 2
    • 693
      • 3
      • 231
        • 77
        • 3
77 can be written as 7 × 11.
  • 6930
    • 10
      • 5
      • 2
    • 693
      • 3
      • 231
        • 77
          • 7
          • 11
        • 3
The end nodes are the prime factors of the number 6930.
  • 6930
    • 10
      • 5
      • 2
    • 693
      • 3
      • 231
        • 77
          • 7
          • 11
        • 3
This page was created using
Prime factorization calculator