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Question

Find the prime factorization of number 272.

Answer

The prime factorization of 272 is:

$$ 272 = 2\cdot2\cdot2\cdot2\cdot17 $$

Which is the same as :

$$ 272 = 2^{4}\cdot17 $$

Explanation

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

272 can be written as 2 × 136.
  • 272
    • 2
    • 136
136 can be written as 2 × 68.
  • 272
    • 2
    • 136
      • 68
      • 2
68 can be written as 2 × 34.
  • 272
    • 2
    • 136
      • 68
        • 2
        • 34
      • 2
34 can be written as 2 × 17.
  • 272
    • 2
    • 136
      • 68
        • 2
        • 34
          • 17
          • 2
      • 2
The end nodes are the prime factors of the number 272.
  • 272
    • 2
    • 136
      • 68
        • 2
        • 34
          • 17
          • 2
      • 2
This page was created using
Prime factorization calculator