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Question

Find the prime factorization of number 441.

Answer

The prime factorization of 441 is:

Which is the same as :

Explanation

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

441 can be written as 3 × 147.
  • 441
    • 3
    • 147
147 can be written as 3 × 49.
  • 441
    • 3
    • 147
      • 49
      • 3
49 can be written as 7 × 7.
  • 441
    • 3
    • 147
      • 49
        • 7
        • 7
      • 3
The end nodes are the prime factors of the number 441.
  • 441
    • 3
    • 147
      • 49
        • 7
        • 7
      • 3
This page was created using
Prime factorization calculator