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Question

Find the prime factorization of number 376.

Answer

The prime factorization of 376 is:

$$ 376 = 2\cdot2\cdot2\cdot47 $$

Which is the same as :

$$ 376 = 2^{3}\cdot47 $$

Explanation

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

376 can be written as 2 × 188.
  • 376
    • 2
    • 188
188 can be written as 2 × 94.
  • 376
    • 2
    • 188
      • 94
      • 2
94 can be written as 2 × 47.
  • 376
    • 2
    • 188
      • 94
        • 2
        • 47
      • 2
The end nodes are the prime factors of the number 376.
  • 376
    • 2
    • 188
      • 94
        • 2
        • 47
      • 2
This page was created using
Prime factorization calculator