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Find the prime factorization of number 168.

Answer

The prime factorization of 168 is:

$$ 168 = 2\cdot2\cdot2\cdot3\cdot7 $$

Which is the same as :

$$ 168 = 2^{3}\cdot3\cdot7 $$

Explanation

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

168 can be written as 2 × 84.
  • 168
    • 2
    • 84
84 can be written as 2 × 42.
  • 168
    • 2
    • 84
      • 42
      • 2
42 can be written as 2 × 21.
  • 168
    • 2
    • 84
      • 42
        • 2
        • 21
      • 2
21 can be written as 3 × 7.
  • 168
    • 2
    • 84
      • 42
        • 2
        • 21
          • 7
          • 3
      • 2
The end nodes are the prime factors of the number 168.
  • 168
    • 2
    • 84
      • 42
        • 2
        • 21
          • 7
          • 3
      • 2
This page was created using
Prime factorization calculator