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Question

Find the prime factorization of number 564.

Answer

The prime factorization of 564 is:

$$ 564 = 2\cdot2\cdot3\cdot47 $$

Which is the same as :

$$ 564 = 2^{2}\cdot3\cdot47 $$

Explanation

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

564 can be written as 2 × 282.
  • 564
    • 2
    • 282
282 can be written as 2 × 141.
  • 564
    • 2
    • 282
      • 141
      • 2
141 can be written as 3 × 47.
  • 564
    • 2
    • 282
      • 141
        • 3
        • 47
      • 2
The end nodes are the prime factors of the number 564.
  • 564
    • 2
    • 282
      • 141
        • 3
        • 47
      • 2
This page was created using
Prime factorization calculator