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Find the prime factorization of number 2464.

Answer

The prime factorization of 2464 is:

$$ 2464 = 2\cdot2\cdot2\cdot2\cdot2\cdot7\cdot11 $$

Which is the same as :

$$ 2464 = 2^{5}\cdot7\cdot11 $$

Explanation

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

2464 can be written as 2 × 1232.
  • 2464
    • 2
    • 1232
1232 can be written as 2 × 616.
  • 2464
    • 2
    • 1232
      • 616
      • 2
616 can be written as 2 × 308.
  • 2464
    • 2
    • 1232
      • 616
        • 2
        • 308
      • 2
308 can be written as 2 × 154.
  • 2464
    • 2
    • 1232
      • 616
        • 2
        • 308
          • 154
          • 2
      • 2
154 can be written as 2 × 77.
  • 2464
    • 2
    • 1232
      • 616
        • 2
        • 308
          • 154
            • 2
            • 77
          • 2
      • 2
77 can be written as 7 × 11.
  • 2464
    • 2
    • 1232
      • 616
        • 2
        • 308
          • 154
            • 2
            • 77
              • 11
              • 7
          • 2
      • 2
The end nodes are the prime factors of the number 2464.
  • 2464
    • 2
    • 1232
      • 616
        • 2
        • 308
          • 154
            • 2
            • 77
              • 11
              • 7
          • 2
      • 2
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Prime factorization calculator