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Find the prime factorization of number 4480.

Answer

The prime factorization of 4480 is:

$$ 4480 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot5\cdot7 $$

Which is the same as :

$$ 4480 = 2^{7}\cdot5\cdot7 $$

Explanation

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

4480 can be written as 10 × 448.
  • 4480
    • 10
    • 448
10 can be written as 2 × 5.
  • 4480
    • 10
      • 5
      • 2
    • 448
448 can be written as 2 × 224.
  • 4480
    • 10
      • 5
      • 2
    • 448
      • 2
      • 224
224 can be written as 2 × 112.
  • 4480
    • 10
      • 5
      • 2
    • 448
      • 2
      • 224
        • 112
        • 2
112 can be written as 2 × 56.
  • 4480
    • 10
      • 5
      • 2
    • 448
      • 2
      • 224
        • 112
          • 2
          • 56
        • 2
56 can be written as 2 × 28.
  • 4480
    • 10
      • 5
      • 2
    • 448
      • 2
      • 224
        • 112
          • 2
          • 56
            • 28
            • 2
        • 2
28 can be written as 2 × 14.
  • 4480
    • 10
      • 5
      • 2
    • 448
      • 2
      • 224
        • 112
          • 2
          • 56
            • 28
              • 2
              • 14
            • 2
        • 2
14 can be written as 2 × 7.
  • 4480
    • 10
      • 5
      • 2
    • 448
      • 2
      • 224
        • 112
          • 2
          • 56
            • 28
              • 2
              • 14
                • 7
                • 2
            • 2
        • 2
The end nodes are the prime factors of the number 4480.
  • 4480
    • 10
      • 5
      • 2
    • 448
      • 2
      • 224
        • 112
          • 2
          • 56
            • 28
              • 2
              • 14
                • 7
                • 2
            • 2
        • 2
This page was created using
Prime factorization calculator