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Find the prime factorization of number 672.

Answer

The prime factorization of 672 is:

$$ 672 = 2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot7 $$

Which is the same as :

$$ 672 = 2^{5}\cdot3\cdot7 $$

Explanation

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

672 can be written as 2 × 336.
  • 672
    • 2
    • 336
336 can be written as 2 × 168.
  • 672
    • 2
    • 336
      • 168
      • 2
168 can be written as 2 × 84.
  • 672
    • 2
    • 336
      • 168
        • 2
        • 84
      • 2
84 can be written as 2 × 42.
  • 672
    • 2
    • 336
      • 168
        • 2
        • 84
          • 42
          • 2
      • 2
42 can be written as 2 × 21.
  • 672
    • 2
    • 336
      • 168
        • 2
        • 84
          • 42
            • 2
            • 21
          • 2
      • 2
21 can be written as 3 × 7.
  • 672
    • 2
    • 336
      • 168
        • 2
        • 84
          • 42
            • 2
            • 21
              • 7
              • 3
          • 2
      • 2
The end nodes are the prime factors of the number 672.
  • 672
    • 2
    • 336
      • 168
        • 2
        • 84
          • 42
            • 2
            • 21
              • 7
              • 3
          • 2
      • 2
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