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Question

Find the prime factorization of number 462.

Answer

The prime factorization of 462 is:

$$ 462 = 2\cdot3\cdot7\cdot11 $$

Explanation

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

462 can be written as 2 × 231.
  • 462
    • 2
    • 231
231 can be written as 3 × 77.
  • 462
    • 2
    • 231
      • 77
      • 3
77 can be written as 7 × 11.
  • 462
    • 2
    • 231
      • 77
        • 7
        • 11
      • 3
The end nodes are the prime factors of the number 462.
  • 462
    • 2
    • 231
      • 77
        • 7
        • 11
      • 3
This page was created using
Prime factorization calculator