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Find the prime factorization of number 1080.

Answer

The prime factorization of 1080 is:

$$ 1080 = 2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot5 $$

Which is the same as :

$$ 1080 = 2^{3}\cdot3^{3}\cdot5 $$

Explanation

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

1080 can be written as 10 × 108.
  • 1080
    • 10
    • 108
10 can be written as 2 × 5.
  • 1080
    • 10
      • 5
      • 2
    • 108
108 can be written as 2 × 54.
  • 1080
    • 10
      • 5
      • 2
    • 108
      • 2
      • 54
54 can be written as 2 × 27.
  • 1080
    • 10
      • 5
      • 2
    • 108
      • 2
      • 54
        • 27
        • 2
27 can be written as 3 × 9.
  • 1080
    • 10
      • 5
      • 2
    • 108
      • 2
      • 54
        • 27
          • 3
          • 9
        • 2
9 can be written as 3 × 3.
  • 1080
    • 10
      • 5
      • 2
    • 108
      • 2
      • 54
        • 27
          • 3
          • 9
            • 3
            • 3
        • 2
The end nodes are the prime factors of the number 1080.
  • 1080
    • 10
      • 5
      • 2
    • 108
      • 2
      • 54
        • 27
          • 3
          • 9
            • 3
            • 3
        • 2
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Prime factorization calculator