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Question

Find the prime factorization of number 264.

Answer

The prime factorization of 264 is:

$$ 264 = 2\cdot2\cdot2\cdot3\cdot11 $$

Which is the same as :

$$ 264 = 2^{3}\cdot3\cdot11 $$

Explanation

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

264 can be written as 2 × 132.
  • 264
    • 2
    • 132
132 can be written as 2 × 66.
  • 264
    • 2
    • 132
      • 66
      • 2
66 can be written as 2 × 33.
  • 264
    • 2
    • 132
      • 66
        • 2
        • 33
      • 2
33 can be written as 3 × 11.
  • 264
    • 2
    • 132
      • 66
        • 2
        • 33
          • 11
          • 3
      • 2
The end nodes are the prime factors of the number 264.
  • 264
    • 2
    • 132
      • 66
        • 2
        • 33
          • 11
          • 3
      • 2
This page was created using
Prime factorization calculator