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Question

Find the prime factorization of number 344.

Answer

The prime factorization of 344 is:

$$ 344 = 2\cdot2\cdot2\cdot43 $$

Which is the same as :

$$ 344 = 2^{3}\cdot43 $$

Explanation

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

344 can be written as 2 × 172.
  • 344
    • 2
    • 172
172 can be written as 2 × 86.
  • 344
    • 2
    • 172
      • 86
      • 2
86 can be written as 2 × 43.
  • 344
    • 2
    • 172
      • 86
        • 2
        • 43
      • 2
The end nodes are the prime factors of the number 344.
  • 344
    • 2
    • 172
      • 86
        • 2
        • 43
      • 2
This page was created using
Prime factorization calculator