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Find the prime factorization of number 1320.

Answer

The prime factorization of 1320 is:

$$ 1320 = 2\cdot2\cdot2\cdot3\cdot5\cdot11 $$

Which is the same as :

$$ 1320 = 2^{3}\cdot3\cdot5\cdot11 $$

Explanation

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

1320 can be written as 10 × 132.
  • 1320
    • 10
    • 132
10 can be written as 2 × 5.
  • 1320
    • 10
      • 5
      • 2
    • 132
132 can be written as 2 × 66.
  • 1320
    • 10
      • 5
      • 2
    • 132
      • 2
      • 66
66 can be written as 2 × 33.
  • 1320
    • 10
      • 5
      • 2
    • 132
      • 2
      • 66
        • 33
        • 2
33 can be written as 3 × 11.
  • 1320
    • 10
      • 5
      • 2
    • 132
      • 2
      • 66
        • 33
          • 3
          • 11
        • 2
The end nodes are the prime factors of the number 1320.
  • 1320
    • 10
      • 5
      • 2
    • 132
      • 2
      • 66
        • 33
          • 3
          • 11
        • 2
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Prime factorization calculator