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Question

Find the prime factorization of number 656.

Answer

The prime factorization of 656 is:

$$ 656 = 2\cdot2\cdot2\cdot2\cdot41 $$

Which is the same as :

$$ 656 = 2^{4}\cdot41 $$

Explanation

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

656 can be written as 2 × 328.
  • 656
    • 2
    • 328
328 can be written as 2 × 164.
  • 656
    • 2
    • 328
      • 164
      • 2
164 can be written as 2 × 82.
  • 656
    • 2
    • 328
      • 164
        • 2
        • 82
      • 2
82 can be written as 2 × 41.
  • 656
    • 2
    • 328
      • 164
        • 2
        • 82
          • 41
          • 2
      • 2
The end nodes are the prime factors of the number 656.
  • 656
    • 2
    • 328
      • 164
        • 2
        • 82
          • 41
          • 2
      • 2
This page was created using
Prime factorization calculator