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Find the prime factorization of number 304.

Answer

The prime factorization of 304 is:

$$ 304 = 2\cdot2\cdot2\cdot2\cdot19 $$

Which is the same as :

$$ 304 = 2^{4}\cdot19 $$

Explanation

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

304 can be written as 2 × 152.
  • 304
    • 2
    • 152
152 can be written as 2 × 76.
  • 304
    • 2
    • 152
      • 76
      • 2
76 can be written as 2 × 38.
  • 304
    • 2
    • 152
      • 76
        • 2
        • 38
      • 2
38 can be written as 2 × 19.
  • 304
    • 2
    • 152
      • 76
        • 2
        • 38
          • 19
          • 2
      • 2
The end nodes are the prime factors of the number 304.
  • 304
    • 2
    • 152
      • 76
        • 2
        • 38
          • 19
          • 2
      • 2
This page was created using
Prime factorization calculator