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Question

Find the prime factorization of number 26880.

Answer

The prime factorization of 26880 is:

$$ 26880 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot5\cdot7 $$

Which is the same as :

$$ 26880 = 2^{8}\cdot3\cdot5\cdot7 $$

Explanation

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

26880 can be written as 10 × 2688.
  • 26880
    • 10
    • 2688
10 can be written as 2 × 5.
  • 26880
    • 10
      • 5
      • 2
    • 2688
2688 can be written as 2 × 1344.
  • 26880
    • 10
      • 5
      • 2
    • 2688
      • 2
      • 1344
1344 can be written as 2 × 672.
  • 26880
    • 10
      • 5
      • 2
    • 2688
      • 2
      • 1344
        • 672
        • 2
672 can be written as 2 × 336.
  • 26880
    • 10
      • 5
      • 2
    • 2688
      • 2
      • 1344
        • 672
          • 2
          • 336
        • 2
336 can be written as 2 × 168.
  • 26880
    • 10
      • 5
      • 2
    • 2688
      • 2
      • 1344
        • 672
          • 2
          • 336
            • 168
            • 2
        • 2
168 can be written as 2 × 84.
  • 26880
    • 10
      • 5
      • 2
    • 2688
      • 2
      • 1344
        • 672
          • 2
          • 336
            • 168
              • 2
              • 84
            • 2
        • 2
84 can be written as 2 × 42.
  • 26880
    • 10
      • 5
      • 2
    • 2688
      • 2
      • 1344
        • 672
          • 2
          • 336
            • 168
              • 2
              • 84
                • 42
                • 2
            • 2
        • 2
42 can be written as 2 × 21.
  • 26880
    • 10
      • 5
      • 2
    • 2688
      • 2
      • 1344
        • 672
          • 2
          • 336
            • 168
              • 2
              • 84
                • 42
                  • 2
                  • 21
                • 2
            • 2
        • 2
21 can be written as 3 × 7.
  • 26880
    • 10
      • 5
      • 2
    • 2688
      • 2
      • 1344
        • 672
          • 2
          • 336
            • 168
              • 2
              • 84
                • 42
                  • 2
                  • 21
                    • 7
                    • 3
                • 2
            • 2
        • 2
The end nodes are the prime factors of the number 26880.
  • 26880
    • 10
      • 5
      • 2
    • 2688
      • 2
      • 1344
        • 672
          • 2
          • 336
            • 168
              • 2
              • 84
                • 42
                  • 2
                  • 21
                    • 7
                    • 3
                • 2
            • 2
        • 2
This page was created using
Prime factorization calculator