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Question

Find the prime factorization of number 105.

Answer

The prime factorization of 105 is:

$$ 105 = 3\cdot5\cdot7 $$

Explanation

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

105 can be written as 5 × 21.
  • 105
    • 5
    • 21
21 can be written as 3 × 7.
  • 105
    • 5
    • 21
      • 7
      • 3
The end nodes are the prime factors of the number 105.
  • 105
    • 5
    • 21
      • 7
      • 3
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Prime factorization calculator