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 1328.

Answer

The prime factorization of 1328 is:

$$ 1328 = 2\cdot2\cdot2\cdot2\cdot83 $$

Which is the same as :

$$ 1328 = 2^{4}\cdot83 $$

Explanation

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

1328 can be written as 2 × 664.
  • 1328
    • 2
    • 664
664 can be written as 2 × 332.
  • 1328
    • 2
    • 664
      • 332
      • 2
332 can be written as 2 × 166.
  • 1328
    • 2
    • 664
      • 332
        • 2
        • 166
      • 2
166 can be written as 2 × 83.
  • 1328
    • 2
    • 664
      • 332
        • 2
        • 166
          • 83
          • 2
      • 2
The end nodes are the prime factors of the number 1328.
  • 1328
    • 2
    • 664
      • 332
        • 2
        • 166
          • 83
          • 2
      • 2
This page was created using
Prime factorization calculator