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Question

Find the prime factorization of number 1368.

Answer

The prime factorization of 1368 is:

$$ 1368 = 2\cdot2\cdot2\cdot3\cdot3\cdot19 $$

Which is the same as :

$$ 1368 = 2^{3}\cdot3^{2}\cdot19 $$

Explanation

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

1368 can be written as 2 × 684.
  • 1368
    • 2
    • 684
684 can be written as 2 × 342.
  • 1368
    • 2
    • 684
      • 342
      • 2
342 can be written as 2 × 171.
  • 1368
    • 2
    • 684
      • 342
        • 2
        • 171
      • 2
171 can be written as 3 × 57.
  • 1368
    • 2
    • 684
      • 342
        • 2
        • 171
          • 57
          • 3
      • 2
57 can be written as 3 × 19.
  • 1368
    • 2
    • 684
      • 342
        • 2
        • 171
          • 57
            • 3
            • 19
          • 3
      • 2
The end nodes are the prime factors of the number 1368.
  • 1368
    • 2
    • 684
      • 342
        • 2
        • 171
          • 57
            • 3
            • 19
          • 3
      • 2
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