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Question

Find the prime factorization of number 328.

Answer

The prime factorization of 328 is:

$$ 328 = 2\cdot2\cdot2\cdot41 $$

Which is the same as :

$$ 328 = 2^{3}\cdot41 $$

Explanation

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

328 can be written as 2 × 164.
  • 328
    • 2
    • 164
164 can be written as 2 × 82.
  • 328
    • 2
    • 164
      • 82
      • 2
82 can be written as 2 × 41.
  • 328
    • 2
    • 164
      • 82
        • 2
        • 41
      • 2
The end nodes are the prime factors of the number 328.
  • 328
    • 2
    • 164
      • 82
        • 2
        • 41
      • 2
This page was created using
Prime factorization calculator