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Question

Find the prime factorization of number 9324.

Answer

The prime factorization of 9324 is:

$$ 9324 = 2\cdot2\cdot3\cdot3\cdot7\cdot37 $$

Which is the same as :

$$ 9324 = 2^{2}\cdot3^{2}\cdot7\cdot37 $$

Explanation

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

9324 can be written as 2 × 4662.
  • 9324
    • 2
    • 4662
4662 can be written as 2 × 2331.
  • 9324
    • 2
    • 4662
      • 2331
      • 2
2331 can be written as 3 × 777.
  • 9324
    • 2
    • 4662
      • 2331
        • 3
        • 777
      • 2
777 can be written as 3 × 259.
  • 9324
    • 2
    • 4662
      • 2331
        • 3
        • 777
          • 259
          • 3
      • 2
259 can be written as 7 × 37.
  • 9324
    • 2
    • 4662
      • 2331
        • 3
        • 777
          • 259
            • 7
            • 37
          • 3
      • 2
The end nodes are the prime factors of the number 9324.
  • 9324
    • 2
    • 4662
      • 2331
        • 3
        • 777
          • 259
            • 7
            • 37
          • 3
      • 2
This page was created using
Prime factorization calculator