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Question

Find the prime factorization of number 2268.

Answer

The prime factorization of 2268 is:

$$ 2268 = 2\cdot2\cdot3\cdot3\cdot3\cdot3\cdot7 $$

Which is the same as :

$$ 2268 = 2^{2}\cdot3^{4}\cdot7 $$

Explanation

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

2268 can be written as 2 × 1134.
  • 2268
    • 2
    • 1134
1134 can be written as 2 × 567.
  • 2268
    • 2
    • 1134
      • 567
      • 2
567 can be written as 3 × 189.
  • 2268
    • 2
    • 1134
      • 567
        • 3
        • 189
      • 2
189 can be written as 3 × 63.
  • 2268
    • 2
    • 1134
      • 567
        • 3
        • 189
          • 63
          • 3
      • 2
63 can be written as 3 × 21.
  • 2268
    • 2
    • 1134
      • 567
        • 3
        • 189
          • 63
            • 3
            • 21
          • 3
      • 2
21 can be written as 3 × 7.
  • 2268
    • 2
    • 1134
      • 567
        • 3
        • 189
          • 63
            • 3
            • 21
              • 7
              • 3
          • 3
      • 2
The end nodes are the prime factors of the number 2268.
  • 2268
    • 2
    • 1134
      • 567
        • 3
        • 189
          • 63
            • 3
            • 21
              • 7
              • 3
          • 3
      • 2
This page was created using
Prime factorization calculator