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Question

Find the prime factorization of number 385.

Answer

The prime factorization of 385 is:

$$ 385 = 5\cdot7\cdot11 $$

Explanation

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

385 can be written as 5 × 77.
  • 385
    • 5
    • 77
77 can be written as 7 × 11.
  • 385
    • 5
    • 77
      • 11
      • 7
The end nodes are the prime factors of the number 385.
  • 385
    • 5
    • 77
      • 11
      • 7
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Prime factorization calculator