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Question

Find the prime factorization of number 960.

Answer

The prime factorization of 960 is:

$$ 960 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot5 $$

Which is the same as :

$$ 960 = 2^{6}\cdot3\cdot5 $$

Explanation

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

960 can be written as 10 × 96.
  • 960
    • 10
    • 96
10 can be written as 2 × 5.
  • 960
    • 10
      • 5
      • 2
    • 96
96 can be written as 2 × 48.
  • 960
    • 10
      • 5
      • 2
    • 96
      • 2
      • 48
48 can be written as 2 × 24.
  • 960
    • 10
      • 5
      • 2
    • 96
      • 2
      • 48
        • 24
        • 2
24 can be written as 2 × 12.
  • 960
    • 10
      • 5
      • 2
    • 96
      • 2
      • 48
        • 24
          • 2
          • 12
        • 2
12 can be written as 2 × 6.
  • 960
    • 10
      • 5
      • 2
    • 96
      • 2
      • 48
        • 24
          • 2
          • 12
            • 6
            • 2
        • 2
6 can be written as 2 × 3.
  • 960
    • 10
      • 5
      • 2
    • 96
      • 2
      • 48
        • 24
          • 2
          • 12
            • 6
              • 2
              • 3
            • 2
        • 2
The end nodes are the prime factors of the number 960.
  • 960
    • 10
      • 5
      • 2
    • 96
      • 2
      • 48
        • 24
          • 2
          • 12
            • 6
              • 2
              • 3
            • 2
        • 2
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Prime factorization calculator