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Question

Find the prime factorization of number 801.

Answer

The prime factorization of 801 is:

$$ 801 = 3\cdot3\cdot89 $$

Which is the same as :

$$ 801 = 3^{2}\cdot89 $$

Explanation

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

801 can be written as 3 × 267.
  • 801
    • 3
    • 267
267 can be written as 3 × 89.
  • 801
    • 3
    • 267
      • 89
      • 3
The end nodes are the prime factors of the number 801.
  • 801
    • 3
    • 267
      • 89
      • 3
This page was created using
Prime factorization calculator