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Question

Find the prime factorization of number 664.

Answer

The prime factorization of 664 is:

$$ 664 = 2\cdot2\cdot2\cdot83 $$

Which is the same as :

$$ 664 = 2^{3}\cdot83 $$

Explanation

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

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