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Question

Find the prime factorization of number 8960.

Answer

The prime factorization of 8960 is:

$$ 8960 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot5\cdot7 $$

Which is the same as :

$$ 8960 = 2^{8}\cdot5\cdot7 $$

Explanation

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

8960 can be written as 10 × 896.
  • 8960
    • 10
    • 896
10 can be written as 2 × 5.
  • 8960
    • 10
      • 5
      • 2
    • 896
896 can be written as 2 × 448.
  • 8960
    • 10
      • 5
      • 2
    • 896
      • 2
      • 448
448 can be written as 2 × 224.
  • 8960
    • 10
      • 5
      • 2
    • 896
      • 2
      • 448
        • 224
        • 2
224 can be written as 2 × 112.
  • 8960
    • 10
      • 5
      • 2
    • 896
      • 2
      • 448
        • 224
          • 2
          • 112
        • 2
112 can be written as 2 × 56.
  • 8960
    • 10
      • 5
      • 2
    • 896
      • 2
      • 448
        • 224
          • 2
          • 112
            • 56
            • 2
        • 2
56 can be written as 2 × 28.
  • 8960
    • 10
      • 5
      • 2
    • 896
      • 2
      • 448
        • 224
          • 2
          • 112
            • 56
              • 2
              • 28
            • 2
        • 2
28 can be written as 2 × 14.
  • 8960
    • 10
      • 5
      • 2
    • 896
      • 2
      • 448
        • 224
          • 2
          • 112
            • 56
              • 2
              • 28
                • 14
                • 2
            • 2
        • 2
14 can be written as 2 × 7.
  • 8960
    • 10
      • 5
      • 2
    • 896
      • 2
      • 448
        • 224
          • 2
          • 112
            • 56
              • 2
              • 28
                • 14
                  • 2
                  • 7
                • 2
            • 2
        • 2
The end nodes are the prime factors of the number 8960.
  • 8960
    • 10
      • 5
      • 2
    • 896
      • 2
      • 448
        • 224
          • 2
          • 112
            • 56
              • 2
              • 28
                • 14
                  • 2
                  • 7
                • 2
            • 2
        • 2
This page was created using
Prime factorization calculator