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Question

Find the prime factorization of number 684.

Answer

The prime factorization of 684 is:

$$ 684 = 2\cdot2\cdot3\cdot3\cdot19 $$

Which is the same as :

$$ 684 = 2^{2}\cdot3^{2}\cdot19 $$

Explanation

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

684 can be written as 2 × 342.
  • 684
    • 2
    • 342
342 can be written as 2 × 171.
  • 684
    • 2
    • 342
      • 171
      • 2
171 can be written as 3 × 57.
  • 684
    • 2
    • 342
      • 171
        • 3
        • 57
      • 2
57 can be written as 3 × 19.
  • 684
    • 2
    • 342
      • 171
        • 3
        • 57
          • 19
          • 3
      • 2
The end nodes are the prime factors of the number 684.
  • 684
    • 2
    • 342
      • 171
        • 3
        • 57
          • 19
          • 3
      • 2
This page was created using
Prime factorization calculator