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Find the prime factorization of number 368.

Answer

The prime factorization of 368 is:

$$ 368 = 2\cdot2\cdot2\cdot2\cdot23 $$

Which is the same as :

$$ 368 = 2^{4}\cdot23 $$

Explanation

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

368 can be written as 2 × 184.
  • 368
    • 2
    • 184
184 can be written as 2 × 92.
  • 368
    • 2
    • 184
      • 92
      • 2
92 can be written as 2 × 46.
  • 368
    • 2
    • 184
      • 92
        • 2
        • 46
      • 2
46 can be written as 2 × 23.
  • 368
    • 2
    • 184
      • 92
        • 2
        • 46
          • 23
          • 2
      • 2
The end nodes are the prime factors of the number 368.
  • 368
    • 2
    • 184
      • 92
        • 2
        • 46
          • 23
          • 2
      • 2
This page was created using
Prime factorization calculator