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Question

Find the prime factorization of number 846.

Answer

The prime factorization of 846 is:

$$ 846 = 2\cdot3\cdot3\cdot47 $$

Which is the same as :

$$ 846 = 2\cdot3^{2}\cdot47 $$

Explanation

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

846 can be written as 2 × 423.
  • 846
    • 2
    • 423
423 can be written as 3 × 141.
  • 846
    • 2
    • 423
      • 141
      • 3
141 can be written as 3 × 47.
  • 846
    • 2
    • 423
      • 141
        • 3
        • 47
      • 3
The end nodes are the prime factors of the number 846.
  • 846
    • 2
    • 423
      • 141
        • 3
        • 47
      • 3
This page was created using
Prime factorization calculator