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Question

Find the prime factorization of number 423.

Answer

The prime factorization of 423 is:

$$ 423 = 3\cdot3\cdot47 $$

Which is the same as :

$$ 423 = 3^{2}\cdot47 $$

Explanation

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

423 can be written as 3 × 141.
  • 423
    • 3
    • 141
141 can be written as 3 × 47.
  • 423
    • 3
    • 141
      • 47
      • 3
The end nodes are the prime factors of the number 423.
  • 423
    • 3
    • 141
      • 47
      • 3
This page was created using
Prime factorization calculator