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 1998.

Answer

The prime factorization of 1998 is:

$$ 1998 = 2\cdot3\cdot3\cdot3\cdot37 $$

Which is the same as :

$$ 1998 = 2\cdot3^{3}\cdot37 $$

Explanation

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

1998 can be written as 2 × 999.
  • 1998
    • 2
    • 999
999 can be written as 3 × 333.
  • 1998
    • 2
    • 999
      • 333
      • 3
333 can be written as 3 × 111.
  • 1998
    • 2
    • 999
      • 333
        • 3
        • 111
      • 3
111 can be written as 3 × 37.
  • 1998
    • 2
    • 999
      • 333
        • 3
        • 111
          • 37
          • 3
      • 3
The end nodes are the prime factors of the number 1998.
  • 1998
    • 2
    • 999
      • 333
        • 3
        • 111
          • 37
          • 3
      • 3
This page was created using
Prime factorization calculator