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Find the prime factorization of number 528.

Answer

The prime factorization of 528 is:

$$ 528 = 2\cdot2\cdot2\cdot2\cdot3\cdot11 $$

Which is the same as :

$$ 528 = 2^{4}\cdot3\cdot11 $$

Explanation

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

528 can be written as 2 × 264.
  • 528
    • 2
    • 264
264 can be written as 2 × 132.
  • 528
    • 2
    • 264
      • 132
      • 2
132 can be written as 2 × 66.
  • 528
    • 2
    • 264
      • 132
        • 2
        • 66
      • 2
66 can be written as 2 × 33.
  • 528
    • 2
    • 264
      • 132
        • 2
        • 66
          • 33
          • 2
      • 2
33 can be written as 3 × 11.
  • 528
    • 2
    • 264
      • 132
        • 2
        • 66
          • 33
            • 3
            • 11
          • 2
      • 2
The end nodes are the prime factors of the number 528.
  • 528
    • 2
    • 264
      • 132
        • 2
        • 66
          • 33
            • 3
            • 11
          • 2
      • 2
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